{"id":15930,"date":"2023-02-15T13:55:27","date_gmt":"2023-02-15T12:55:27","guid":{"rendered":"https:\/\/college-willy-ronis.fr\/maths\/?p=15930"},"modified":"2025-12-22T08:41:34","modified_gmt":"2025-12-22T07:41:34","slug":"chapitre-10-les-puissances","status":"publish","type":"post","link":"https:\/\/college-willy-ronis.fr\/maths\/chapitre-10-les-puissances\/","title":{"rendered":"Chapitre 10 : Les puissances"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"15930\" class=\"elementor elementor-15930\">\n\t\t\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-18fdcf9c elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"18fdcf9c\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;shape_divider_bottom&quot;:&quot;wave-brush&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t<div class=\"elementor-shape elementor-shape-bottom\" data-negative=\"false\">\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 283.5 27.8\" preserveAspectRatio=\"none\">\n\t<path class=\"elementor-shape-fill\" d=\"M283.5,9.7c0,0-7.3,4.3-14,4.6c-6.8,0.3-12.6,0-20.9-1.5c-11.3-2-33.1-10.1-44.7-5.7\ts-12.1,4.6-18,7.4c-6.6,3.2-20,9.6-36.6,9.3C131.6,23.5,99.5,7.2,86.3,8c-1.4,0.1-6.6,0.8-10.5,2c-3.8,1.2-9.4,3.8-17,4.7\tc-3.2,0.4-8.3,1.1-14.2,0.9c-1.5-0.1-6.3-0.4-12-1.6c-5.7-1.2-11-3.1-15.8-3.7C6.5,9.2,0,10.8,0,10.8V0h283.5V9.7z M260.8,11.3\tc-0.7-1-2-0.4-4.3-0.4c-2.3,0-6.1-1.2-5.8-1.1c0.3,0.1,3.1,1.5,6,1.9C259.7,12.2,261.4,12.3,260.8,11.3z M242.4,8.6\tc0,0-2.4-0.2-5.6-0.9c-3.2-0.8-10.3-2.8-15.1-3.5c-8.2-1.1-15.8,0-15.1,0.1c0.8,0.1,9.6-0.6,17.6,1.1c3.3,0.7,9.3,2.2,12.4,2.7\tC239.9,8.7,242.4,8.6,242.4,8.6z M185.2,8.5c1.7-0.7-13.3,4.7-18.5,6.1c-2.1,0.6-6.2,1.6-10,2c-3.9,0.4-8.9,0.4-8.8,0.5\tc0,0.2,5.8,0.8,11.2,0c5.4-0.8,5.2-1.1,7.6-1.6C170.5,14.7,183.5,9.2,185.2,8.5z M199.1,6.9c0.2,0-0.8-0.4-4.8,1.1\tc-4,1.5-6.7,3.5-6.9,3.7c-0.2,0.1,3.5-1.8,6.6-3C197,7.5,199,6.9,199.1,6.9z M283,6c-0.1,0.1-1.9,1.1-4.8,2.5s-6.9,2.8-6.7,2.7\tc0.2,0,3.5-0.6,7.4-2.5C282.8,6.8,283.1,5.9,283,6z M31.3,11.6c0.1-0.2-1.9-0.2-4.5-1.2s-5.4-1.6-7.8-2C15,7.6,7.3,8.5,7.7,8.6\tC8,8.7,15.9,8.3,20.2,9.3c2.2,0.5,2.4,0.5,5.7,1.6S31.2,11.9,31.3,11.6z M73,9.2c0.4-0.1,3.5-1.6,8.4-2.6c4.9-1.1,8.9-0.5,8.9-0.8\tc0-0.3-1-0.9-6.2-0.3S72.6,9.3,73,9.2z M71.6,6.7C71.8,6.8,75,5.4,77.3,5c2.3-0.3,1.9-0.5,1.9-0.6c0-0.1-1.1-0.2-2.7,0.2\tC74.8,5.1,71.4,6.6,71.6,6.7z M93.6,4.4c0.1,0.2,3.5,0.8,5.6,1.8c2.1,1,1.8,0.6,1.9,0.5c0.1-0.1-0.8-0.8-2.4-1.3\tC97.1,4.8,93.5,4.2,93.6,4.4z M65.4,11.1c-0.1,0.3,0.3,0.5,1.9-0.2s2.6-1.3,2.2-1.2s-0.9,0.4-2.5,0.8C65.3,10.9,65.5,10.8,65.4,11.1\tz M34.5,12.4c-0.2,0,2.1,0.8,3.3,0.9c1.2,0.1,2,0.1,2-0.2c0-0.3-0.1-0.5-1.6-0.4C36.6,12.8,34.7,12.4,34.5,12.4z M152.2,21.1\tc-0.1,0.1-2.4-0.3-7.5-0.3c-5,0-13.6-2.4-17.2-3.5c-3.6-1.1,10,3.9,16.5,4.1C150.5,21.6,152.3,21,152.2,21.1z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M269.6,18c-0.1-0.1-4.6,0.3-7.2,0c-7.3-0.7-17-3.2-16.6-2.9c0.4,0.3,13.7,3.1,17,3.3\tC267.7,18.8,269.7,18,269.6,18z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M227.4,9.8c-0.2-0.1-4.5-1-9.5-1.2c-5-0.2-12.7,0.6-12.3,0.5c0.3-0.1,5.9-1.8,13.3-1.2\tS227.6,9.9,227.4,9.8z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M204.5,13.4c-0.1-0.1,2-1,3.2-1.1c1.2-0.1,2,0,2,0.3c0,0.3-0.1,0.5-1.6,0.4\tC206.4,12.9,204.6,13.5,204.5,13.4z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M201,10.6c0-0.1-4.4,1.2-6.3,2.2c-1.9,0.9-6.2,3.1-6.1,3.1c0.1,0.1,4.2-1.6,6.3-2.6\tS201,10.7,201,10.6z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M154.5,26.7c-0.1-0.1-4.6,0.3-7.2,0c-7.3-0.7-17-3.2-16.6-2.9c0.4,0.3,13.7,3.1,17,3.3\tC152.6,27.5,154.6,26.8,154.5,26.7z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M41.9,19.3c0,0,1.2-0.3,2.9-0.1c1.7,0.2,5.8,0.9,8.2,0.7c4.2-0.4,7.4-2.7,7-2.6\tc-0.4,0-4.3,2.2-8.6,1.9c-1.8-0.1-5.1-0.5-6.7-0.4S41.9,19.3,41.9,19.3z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M75.5,12.6c0.2,0.1,2-0.8,4.3-1.1c2.3-0.2,2.1-0.3,2.1-0.5c0-0.1-1.8-0.4-3.4,0\tC76.9,11.5,75.3,12.5,75.5,12.6z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M15.6,13.2c0-0.1,4.3,0,6.7,0.5c2.4,0.5,5,1.9,5,2c0,0.1-2.7-0.8-5.1-1.4\tC19.9,13.7,15.7,13.3,15.6,13.2z\"\/>\n<\/svg>\t\t<\/div>\n\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-da12682\" data-id=\"da12682\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-45b7ba7e elementor-widget elementor-widget-heading\" data-id=\"45b7ba7e\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Chapitre 10<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7c9c6823 elementor-widget elementor-widget-heading\" data-id=\"7c9c6823\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">Les puissances<\/h1>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1aa7da2d elementor-widget elementor-widget-text-editor\" data-id=\"1aa7da2d\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-404a6b1c\" data-id=\"404a6b1c\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-707207fb elementor-widget elementor-widget-image\" data-id=\"707207fb\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"256\" height=\"192\" src=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2023\/02\/cours-maths-4eme.png\" class=\"attachment-medium size-medium wp-image-15214\" alt=\"Cours de math\u00e9matiques de 4\u00e8me\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-effc724 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"effc724\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-b86aef4\" data-id=\"b86aef4\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c41fa43 elementor-widget elementor-widget-spacer\" data-id=\"c41fa43\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-14a89f6 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"14a89f6\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-59920f1\" data-id=\"59920f1\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-23337a3 elementor-widget elementor-widget-heading\" data-id=\"23337a3\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Chapitre 10 : Les puissances<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4de5c4e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4de5c4e\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-2ddcd4f\" data-id=\"2ddcd4f\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7c4a33c elementor-widget elementor-widget-spacer\" data-id=\"7c4a33c\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-0562a44 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"0562a44\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-ac69aa3\" data-id=\"ac69aa3\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a65aec9 elementor-widget elementor-widget-heading\" data-id=\"a65aec9\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">A) Puissance de 10 d\u2019exposant entier positif<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-e8a0367 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e8a0367\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-cc24643\" data-id=\"cc24643\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6b918c7 elementor-widget elementor-widget-text-editor\" data-id=\"6b918c7\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>D\u00e9finition :<\/strong> $n$ d\u00e9signe un nombre entier avec $n\\geq 1$. Le produit de $n$ facteurs tous \u00e9gaux \u00e0 $10$ se note $10^{n}$.<br \/>\\[10^{n}=\\underbrace{10\\times 10\\times 10\\times &#8230;\\times 10}_{\\text{n fois}}=\\underbrace{10&#8230;0}_{\\text{n z\u00e9ros}}\\]<ul><li>$10^{n}$ se lit $10$ <strong>exposant<\/strong> $n$\u00a0 ou\u00a0 $10$ <strong>puissance<\/strong> $n$.<\/li><li>Le nombre $n$ est appel\u00e9 <strong>l\u2019exposant<\/strong>.<\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-e961fa8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e961fa8\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-efe1130\" data-id=\"efe1130\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a8e406d elementor-widget elementor-widget-text-editor\" data-id=\"a8e406d\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Remarque :<\/strong> Par convention : $10^{0}=1$<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9c7c649 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9c7c649\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-3408788\" data-id=\"3408788\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-db51db8 elementor-widget elementor-widget-text-editor\" data-id=\"db51db8\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Exemples :<\/strong><\/p><ul><li>$10^{3}=10\\times 10\\times 10=1~000$<\/li><li>$10^{7}=10~000~000$<\/li><li>$10^{1}=10$<\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-cb23bce elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"cb23bce\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-0479cd5\" data-id=\"0479cd5\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-524e2ad elementor-widget elementor-widget-spacer\" data-id=\"524e2ad\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6f87720 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6f87720\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-354eb61\" data-id=\"354eb61\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3c66fde elementor-widget elementor-widget-heading\" data-id=\"3c66fde\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">B) Puissances de 10 d\u2019exposant entier n\u00e9gatif<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3e98aa8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"3e98aa8\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1ea58c6\" data-id=\"1ea58c6\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-24ae5d6 elementor-widget elementor-widget-text-editor\" data-id=\"24ae5d6\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>D\u00e9finition :<\/strong> $n$ d\u00e9signe un nombre entier sup\u00e9rieur ou \u00e9gal \u00e0 $1$. Le nombre $10^{-n}$ est l&rsquo;inverse de $10^{n}$.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-e4e1e99 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e4e1e99\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-5237fbd\" data-id=\"5237fbd\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4eb39f3 elementor-widget elementor-widget-text-editor\" data-id=\"4eb39f3\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Propri\u00e9t\u00e9 :<\/strong> $n$ d\u00e9signe un nombre entier sup\u00e9rieur ou \u00e9gal \u00e0 $1$.<br \/>\\[10^{-n}=\\dfrac{1}{10^{n}}=\\dfrac{1}{\\underbrace{10\\times 10\\times 10\\times &#8230;\\times 10}_{{\\text{n fois}}}}=\\underbrace{0,0&#8230;1}_{\\text{n z\u00e9ros}}\\]\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5b052d3 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5b052d3\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-2a4665f\" data-id=\"2a4665f\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0bfa08e elementor-widget elementor-widget-text-editor\" data-id=\"0bfa08e\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Exemples :<\/strong><\/p><ul><li>$10^{-3}=0,001$<\/li><li>$10^{-7}=0,000~000~1$<\/li><li>$10^{-1}=0,1$<\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-c4088e5 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"c4088e5\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-a282e37\" data-id=\"a282e37\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e1c4c3b elementor-widget elementor-widget-spacer\" data-id=\"e1c4c3b\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-946ec7d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"946ec7d\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-7550040\" data-id=\"7550040\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a81727d elementor-widget elementor-widget-heading\" data-id=\"a81727d\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">C) Notation scientifique d\u2019un nombre d\u00e9cimal<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2d5f303 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2d5f303\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-bbff4c1\" data-id=\"bbff4c1\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4936811 elementor-widget elementor-widget-text-editor\" data-id=\"4936811\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>D\u00e9finition :<\/strong> La <strong>notation scientifique<\/strong> d&rsquo;un nombre d\u00e9cimal est l&rsquo;unique \u00e9criture de la forme $a\\times 10^{n}$ dans laquelle :<\/p><ul><li>$a$ est un nombre d\u00e9cimal qui poss\u00e8de un seul chiffre avant la virgule, ce chiffre \u00e9tant non nul ;<\/li><li>$n$ est un nombre entier relatif.<\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-85677ee elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"85677ee\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4c29dee\" data-id=\"4c29dee\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5c91189 elementor-widget elementor-widget-text-editor\" data-id=\"5c91189\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Exemples :<\/strong><\/p>\n<ul>\n<li>$189~700=1,897\\times 10^{5}$<\/li>\n<li>$0,003~94=3,94\\times 10^{-3}$<\/li>\n<\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-d0002e6 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d0002e6\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-10767bd\" data-id=\"10767bd\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ce27d54 elementor-widget elementor-widget-text-editor\" data-id=\"ce27d54\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Exemples :<\/strong> Comparer $789,3\\times 10^{-5}$ et $0,005~69$.<\/p><p>Notation scientifique de $789,3\\times 10^{-5}$ :<br \/>\\[789,3\\times 10^{-5}=7,893\\times 10^{2}\\times 10^{-5}=7,893\\times \\dfrac{100}{100~000}=7,893\\times \\dfrac{1}{1~000}=7,893\\times 10^{-3}\\]<p>Notation scientifique de $0,005~69$ :<br \/>\\[0,005~69=5,69\\times 10^{-3}\\]<p>On compare d&rsquo;abord les exposants des puissances de $10$. Si les exposants sont \u00e9gaux comme ici, on compare les facteurs plac\u00e9s devant les puissances de $10$.<br \/>$7,893&gt;5,69$ donc $789,3\\times 10^{-5}&gt;0,005~69$.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-57afe69 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"57afe69\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-c5847cb\" data-id=\"c5847cb\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0e486d4 elementor-widget elementor-widget-video\" data-id=\"0e486d4\" data-element_type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/afiu6VUhngo?si=Esr3VMdDH6SXEBLS&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-cf3726d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"cf3726d\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-44cdada\" data-id=\"44cdada\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b3602d1 elementor-widget elementor-widget-spacer\" data-id=\"b3602d1\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-dde1222 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"dde1222\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-ec04f90\" data-id=\"ec04f90\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-919e235 elementor-widget elementor-widget-heading\" data-id=\"919e235\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">D) Les pr\u00e9fixes de nano \u00e0 giga<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-8266a26 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"8266a26\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-b7c0332\" data-id=\"b7c0332\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7330494 elementor-widget elementor-widget-image\" data-id=\"7330494\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"760\" height=\"116\" src=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2023\/02\/prefixe-puissance.png\" class=\"attachment-full size-full wp-image-16000\" alt=\"\" srcset=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2023\/02\/prefixe-puissance.png 760w, https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2023\/02\/prefixe-puissance-300x46.png 300w\" sizes=\"auto, (max-width: 760px) 100vw, 760px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-1545aa7 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"1545aa7\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4701d3a\" data-id=\"4701d3a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-284392f elementor-widget elementor-widget-text-editor\" data-id=\"284392f\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Exemples :<\/strong><\/p><ul><li>$1~\\text{GW}=10^{9}~\\text{W}$<\/li><li>$1~\\text{nm}=10^{-9}~\\text{m}$<\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f473ef9 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f473ef9\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-378eb5d\" data-id=\"378eb5d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6800dcb elementor-widget elementor-widget-spacer\" data-id=\"6800dcb\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-0d3e413 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"0d3e413\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-349e56a\" data-id=\"349e56a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-26f6688 elementor-widget elementor-widget-heading\" data-id=\"26f6688\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">E) Puissances d\u2019un nombre relatif d\u2019exposant positif<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-d9fad9f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d9fad9f\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-5f0fb27\" data-id=\"5f0fb27\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c2a61e7 elementor-widget elementor-widget-text-editor\" data-id=\"c2a61e7\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>D\u00e9finition :<\/strong> Pour tout nombre relatif $a$ et pour tout nombre entier $n\\geq 1$ :<br \/>\\[\\underbrace{a\\times a &#8230;\\times a}_{\\text{n fois}}~\\text{s&rsquo;\u00e9crit}~a^{n}\\]$a^{n}$ se lit\u00a0 <strong>$a$ exposant $n$<\/strong> ou <strong>$a$ puissance $n$<\/strong>.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-0e33133 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"0e33133\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-0e7e26e\" data-id=\"0e7e26e\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1693c16 elementor-widget elementor-widget-text-editor\" data-id=\"1693c16\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Remarques : <\/strong><\/p><ul><li>Par convention : $a^{0}=1$.<\/li><li>$a^{1}=a$<\/li><li>$a^{2}$ se lit aussi <strong>$a$ au carr\u00e9<\/strong>.<\/li><li>$a^{3}$ se lit aussi <strong>$a$ au cube<\/strong>.<\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-d8ce02a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d8ce02a\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-057b8ce\" data-id=\"057b8ce\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5cfdfda elementor-widget elementor-widget-text-editor\" data-id=\"5cfdfda\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Exemples :<\/strong><\/p><ul><li>$4^{5}=4\\times 4\\times 4\\times 4 \\times 4=1~024$<\/li><li>$(-3)^{4}=(-3)\\times (-3)\\times (-3)\\times (-3)=81$<\/li><li>$-3^{4}=-3\\times 3\\times 3\\times 3=-81$<\/li><li>$\\left(\\dfrac{5}{6}\\right)^{3}=\\dfrac{5^{3}}{6^{3}}=\\dfrac{5\\times 5\\times 5}{6\\times 6\\times 6}=\\dfrac{125}{216}$<\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-33f23aa elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"33f23aa\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-10bb259\" data-id=\"10bb259\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7ff1eda elementor-widget elementor-widget-video\" data-id=\"7ff1eda\" data-element_type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/youtu.be\\\/GdJmkUJtQS0?si=2iGt2W61aucIf25X&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5a1838d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5a1838d\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-35db7f8\" data-id=\"35db7f8\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d992d59 elementor-widget elementor-widget-spacer\" data-id=\"d992d59\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-a1aa405 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a1aa405\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d19520a\" data-id=\"d19520a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3d3968b elementor-button-info elementor-align-center elementor-widget elementor-widget-button\" data-id=\"3d3968b\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-xl\" href=\"https:\/\/nuage02.apps.education.fr\/index.php\/s\/o2g9iRePrEd3Ds2\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-icon elementor-align-icon-left\">\n\t\t\t\t<i aria-hidden=\"true\" class=\"far fa-arrow-alt-circle-right\"><\/i>\t\t\t<\/span>\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Exercices corrig\u00e9s<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-fe26c2b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"fe26c2b\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6914d18\" data-id=\"6914d18\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3ddec8b elementor-widget elementor-widget-spacer\" data-id=\"3ddec8b\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Chapitre 10 Les puissances Chapitre 10 : Les puissances A) Puissance de 10 d\u2019exposant entier positif D\u00e9finition : $n$ d\u00e9signe un nombre entier avec $ngeq 1$. Le produit de $n$ facteurs tous \u00e9gaux \u00e0 $10$ se note $10^{n}$.[10^{n}=underbrace{10times 10times 10times &#8230;times 10}_{text{n fois}}=underbrace{10&#8230;0}_{text{n z\u00e9ros}}] $10^{n}$ se lit $10$ exposant $n$\u00a0 ou\u00a0 $10$ puissance $n$. Le [&hellip;]<\/p>\n","protected":false},"author":7440,"featured_media":15934,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"site-sidebar-layout":"default","site-content-layout":"page-builder","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"disabled","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[39],"tags":[],"class_list":["post-15930","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-cours-et-exercices-4eme"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v24.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Chapitre 10 : Les puissances<\/title>\n<meta name=\"description\" content=\"Cours de math\u00e9matiques de 4\u00e8me du coll\u00e8ge Willy Ronis sur les puissances, des vid\u00e9os, les exercices corrig\u00e9s,...\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/college-willy-ronis.fr\/maths\/chapitre-10-les-puissances\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Chapitre 10 : Les puissances\" \/>\n<meta property=\"og:description\" content=\"Cours de math\u00e9matiques de 4\u00e8me du coll\u00e8ge Willy Ronis sur les puissances, des vid\u00e9os, les exercices corrig\u00e9s,...\" \/>\n<meta property=\"og:url\" content=\"https:\/\/college-willy-ronis.fr\/maths\/chapitre-10-les-puissances\/\" \/>\n<meta property=\"og:site_name\" content=\"Math\u00e9matiques au coll\u00e8ge Willy Ronis\" \/>\n<meta property=\"article:published_time\" content=\"2023-02-15T12:55:27+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-12-22T07:41:34+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2023\/02\/puissances.png\" \/>\n\t<meta property=\"og:image:width\" content=\"256\" \/>\n\t<meta property=\"og:image:height\" content=\"192\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"eric_moisan@orange.fr\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u00c9crit par\" \/>\n\t<meta name=\"twitter:data1\" content=\"eric_moisan@orange.fr\" \/>\n\t<meta name=\"twitter:label2\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/chapitre-10-les-puissances\/\",\"url\":\"https:\/\/college-willy-ronis.fr\/maths\/chapitre-10-les-puissances\/\",\"name\":\"Chapitre 10 : Les puissances\",\"isPartOf\":{\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/chapitre-10-les-puissances\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/chapitre-10-les-puissances\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2023\/02\/puissances.png\",\"datePublished\":\"2023-02-15T12:55:27+00:00\",\"dateModified\":\"2025-12-22T07:41:34+00:00\",\"author\":{\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/#\/schema\/person\/d202e67a67b7b4f358f706eee0254cbc\"},\"description\":\"Cours de math\u00e9matiques de 4\u00e8me du coll\u00e8ge Willy Ronis sur les puissances, des vid\u00e9os, les exercices corrig\u00e9s,...\",\"breadcrumb\":{\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/chapitre-10-les-puissances\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/college-willy-ronis.fr\/maths\/chapitre-10-les-puissances\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/chapitre-10-les-puissances\/#primaryimage\",\"url\":\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2023\/02\/puissances.png\",\"contentUrl\":\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2023\/02\/puissances.png\",\"width\":256,\"height\":192},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/chapitre-10-les-puissances\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Accueil\",\"item\":\"https:\/\/college-willy-ronis.fr\/maths\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Chapitre 10 : Les puissances\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/#website\",\"url\":\"https:\/\/college-willy-ronis.fr\/maths\/\",\"name\":\"Math\u00e9matiques au coll\u00e8ge Willy Ronis\",\"description\":\"Cours et exercices corrig\u00e9s de math\u00e9matiques de la 6\u00e8me \u00e0 la 3\u00e8me, sujets de brevet, cartes mentales et activit\u00e9s.\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/college-willy-ronis.fr\/maths\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"fr-FR\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/#\/schema\/person\/d202e67a67b7b4f358f706eee0254cbc\",\"name\":\"eric_moisan@orange.fr\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\/\/college-willy-ronis.fr\/maths\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/97378c19de3b180e65e886a4976c355a?s=96&d=monsterid&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/97378c19de3b180e65e886a4976c355a?s=96&d=monsterid&r=g\",\"caption\":\"eric_moisan@orange.fr\"},\"url\":\"https:\/\/college-willy-ronis.fr\/maths\/author\/eric_moisanorange-fr\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Chapitre 10 : Les puissances","description":"Cours de math\u00e9matiques de 4\u00e8me du coll\u00e8ge Willy Ronis sur les puissances, des vid\u00e9os, les exercices corrig\u00e9s,...","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/college-willy-ronis.fr\/maths\/chapitre-10-les-puissances\/","og_locale":"fr_FR","og_type":"article","og_title":"Chapitre 10 : Les puissances","og_description":"Cours de math\u00e9matiques de 4\u00e8me du coll\u00e8ge Willy Ronis sur les puissances, des vid\u00e9os, les exercices corrig\u00e9s,...","og_url":"https:\/\/college-willy-ronis.fr\/maths\/chapitre-10-les-puissances\/","og_site_name":"Math\u00e9matiques au coll\u00e8ge Willy Ronis","article_published_time":"2023-02-15T12:55:27+00:00","article_modified_time":"2025-12-22T07:41:34+00:00","og_image":[{"width":256,"height":192,"url":"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2023\/02\/puissances.png","type":"image\/png"}],"author":"eric_moisan@orange.fr","twitter_card":"summary_large_image","twitter_misc":{"\u00c9crit par":"eric_moisan@orange.fr","Dur\u00e9e de lecture estim\u00e9e":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/college-willy-ronis.fr\/maths\/chapitre-10-les-puissances\/","url":"https:\/\/college-willy-ronis.fr\/maths\/chapitre-10-les-puissances\/","name":"Chapitre 10 : Les puissances","isPartOf":{"@id":"https:\/\/college-willy-ronis.fr\/maths\/#website"},"primaryImageOfPage":{"@id":"https:\/\/college-willy-ronis.fr\/maths\/chapitre-10-les-puissances\/#primaryimage"},"image":{"@id":"https:\/\/college-willy-ronis.fr\/maths\/chapitre-10-les-puissances\/#primaryimage"},"thumbnailUrl":"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2023\/02\/puissances.png","datePublished":"2023-02-15T12:55:27+00:00","dateModified":"2025-12-22T07:41:34+00:00","author":{"@id":"https:\/\/college-willy-ronis.fr\/maths\/#\/schema\/person\/d202e67a67b7b4f358f706eee0254cbc"},"description":"Cours de math\u00e9matiques de 4\u00e8me du coll\u00e8ge Willy Ronis sur les puissances, des vid\u00e9os, les exercices corrig\u00e9s,...","breadcrumb":{"@id":"https:\/\/college-willy-ronis.fr\/maths\/chapitre-10-les-puissances\/#breadcrumb"},"inLanguage":"fr-FR","potentialAction":[{"@type":"ReadAction","target":["https:\/\/college-willy-ronis.fr\/maths\/chapitre-10-les-puissances\/"]}]},{"@type":"ImageObject","inLanguage":"fr-FR","@id":"https:\/\/college-willy-ronis.fr\/maths\/chapitre-10-les-puissances\/#primaryimage","url":"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2023\/02\/puissances.png","contentUrl":"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2023\/02\/puissances.png","width":256,"height":192},{"@type":"BreadcrumbList","@id":"https:\/\/college-willy-ronis.fr\/maths\/chapitre-10-les-puissances\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Accueil","item":"https:\/\/college-willy-ronis.fr\/maths\/"},{"@type":"ListItem","position":2,"name":"Chapitre 10 : Les puissances"}]},{"@type":"WebSite","@id":"https:\/\/college-willy-ronis.fr\/maths\/#website","url":"https:\/\/college-willy-ronis.fr\/maths\/","name":"Math\u00e9matiques au coll\u00e8ge Willy Ronis","description":"Cours et exercices corrig\u00e9s de math\u00e9matiques de la 6\u00e8me \u00e0 la 3\u00e8me, sujets de brevet, cartes mentales et activit\u00e9s.","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/college-willy-ronis.fr\/maths\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"fr-FR"},{"@type":"Person","@id":"https:\/\/college-willy-ronis.fr\/maths\/#\/schema\/person\/d202e67a67b7b4f358f706eee0254cbc","name":"eric_moisan@orange.fr","image":{"@type":"ImageObject","inLanguage":"fr-FR","@id":"https:\/\/college-willy-ronis.fr\/maths\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/97378c19de3b180e65e886a4976c355a?s=96&d=monsterid&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/97378c19de3b180e65e886a4976c355a?s=96&d=monsterid&r=g","caption":"eric_moisan@orange.fr"},"url":"https:\/\/college-willy-ronis.fr\/maths\/author\/eric_moisanorange-fr\/"}]}},"_links":{"self":[{"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/posts\/15930","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/users\/7440"}],"replies":[{"embeddable":true,"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/comments?post=15930"}],"version-history":[{"count":62,"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/posts\/15930\/revisions"}],"predecessor-version":[{"id":19714,"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/posts\/15930\/revisions\/19714"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/media\/15934"}],"wp:attachment":[{"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/media?parent=15930"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/categories?post=15930"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/college-willy-ronis.fr\/maths\/wp-json\/wp\/v2\/tags?post=15930"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}