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diff --git a/lessons/matematika/pangkat-akar/latihan.html b/lessons/matematika/pangkat-akar/latihan.html new file mode 100644 index 0000000..6bdae1d --- /dev/null +++ b/lessons/matematika/pangkat-akar/latihan.html @@ -0,0 +1,167 @@ +<!DOCTYPE html> +<html lang="en"> + +<head> + <meta charset="UTF-8"> + <meta http-equiv="X-UA-Compatible" content="IE=edge"> + <meta name="viewport" content="width=device-width, initial-scale=1.0"> + <link rel="stylesheet" href="/style.css"> + <link rel="icon" href="/assets/images/master.svg"> + <title>Al Azhar 9th Grade Lesson Notes</title> + <link rel="apple-touch-icon" sizes="180x180" href="/apple-touch-icon.png"> + <link rel="icon" type="image/png" sizes="32x32" href="/favicon-32x32.png"> + <link rel="icon" type="image/png" sizes="16x16" href="/favicon-16x16.png"> + <link rel="manifest" href="/site.webmanifest"> + <script src="https://kit.fontawesome.com/d279a1f519.js" crossorigin="anonymous"></script> +</head> + +<body> + <div class="fixed-top-btn-container" id="topbtn"> + <a class="fixed-top-btn menu-btn" onclick="toggleNav()" href="javascript:void(0)"><i class="fa-solid fa-bars"></i></a> + <a href="../" class="fixed-top-btn back-btn"><i class="fa-solid fa-chevron-left"></i></a> + </div> + <div id="console"></div> + <div id="sidebar"> + <div> + <a href="/index.html"> + <img src="/assets/images/master.svg" alt="" class="sidebar-logo"> + </a> + + <h3 id="title" class="align-center">Al Azhar 9th Grade Lesson Notes</h3> + </div> + + <div> + <a href="/about/author.html" class="sidebar-link link">About the Author</a> + <a href="/about/school.html" class="sidebar-link link">About School</a> + <a href="/lessons" class="sidebar-link link">Lessons</a> + + + <hr class="divider"> + <div id="toc"> + <h4>Table of Contents</h4> + </div> + </div> + </div> + + <div class="banner-container" id="banner"> + <div class="banner-bg" id="img-supplies"></div> + <div class="gradient-bg"></div> + <div class="banner-text-container"> + <h1 class="banner-text" id="banner-txt">Exercise</h1> + <h3 class="banner-text" id="banner-txt">Chapter 1</h3> + </div> + </div> + + <div class="chip-container" id="chip-container"> + <div class="chip"><span>❓ Unchecked</span></div> + </div> + + <div id="main"> + <section> + <h1 id="questions">Pertanyaan</h1> + <ol> + <h2 id="questions--pangkat">Pangkat</h1> + <li style="margin-top: 10px;">8p<sup>2</sup>q × 2pq<sup>3</sup></li> + <li style="margin-top: 10px;">64<sup><span class="frac"><sup>1</sup><span>⁄</span><sub>2</sub></span></sup> + 81<sup><span class="frac"><sup>1</sup><span>⁄</span><sub>3</sub></span></sup></li> + <li style="margin-top: 10px;">2<span class="sroot">5</span> + 3<span class="sroot">20</span> - 4<span class="sroot">5</span></li> + + <h2 id="questions--rasional">Merasionalkan Akar</h2> + <li style="margin-top: 10px;"><span class="frac"><sup>4</sup><span>⁄</span><sub><span class="sroot">5</span></sub></span></li> + <li style="margin-top: 10px;"><span class="frac"><sup>3<span class="sroot">5</span></sup><span>⁄</span><sub>2<span class="sroot">3</span></sup></sub></span></li> + <li style="margin-top: 10px;"><span class="frac"><sup>5</sup><span>⁄</span><sub><span class="sroot">3</span> - <span class="sroot">2</span></sub></span></li> + <li style="margin-top: 10px;"><span class="frac"><sup><span class="sroot">5</span> - <span class="sroot">7</span></sup><span>⁄</span><sub><span class="sroot">5</span> - <span class="sroot">2</span></sub></span></li> + + <h2 id="question--operasi-pangkat">Operasi Pangkat</h2> + <li style="margin-top: 10px;">(8p<sup>2</sup>3)<sup>3</sup> ÷ 2pq</li> + <li style="margin-top: 10px;"><span class="frac"><sup>(a<sup><span class="frac"><sup>1</sup><span>⁄</span><sub>3</sub></span></sup>b<sup><span class="frac"><sup>1</sup><span>⁄</span><sub>3</sub></span></sup>)<sup>6</sup></sup><span>⁄</span><sub>(a<sup><span class="frac"><sup>2</sup><span>⁄</span><sub>3</sub></span></sup>b<sup><span class="frac"><sup>4</sup><span>⁄</span><sub>3</sub></span></sup>)<sup>9</sup></sup></sub></span></li> + + <h2 id="question--persamaan-pangkat">Persamaan Pangkat</h2> + <li style="margin-top: 10px;">2<sup>x + 8</sup> = 64</li> + <li style="margin-top: 10px;">16<sup>2x + 3</sup> = 32</li> + </ol> + <h1 id="jawaban">Jawaban</h1> + <ol> + <li style="margin-top: 10px;">16p<sup>3</sup>q<sup>4</sup></li> + <li style="margin-top: 10px;"> + 64<sup><span class="frac"><sup>1</sup><span>⁄</span><sub>2</sub></span></sup> + 81<sup><span class="frac"><sup>1</sup><span>⁄</span><sub>3</sub></span></sup><br> + = <span class="sroot">64</span> + <sup>3</sup><span class="sroot">81</span><br> + = 8 + <sup>3</sup><span class="sroot">81</span> + </li> + <li style="margin-top: 10px;"> + 2<span class="sroot">5</span> + 3<span class="sroot">20</span> - 4<span class="sroot">5</span><br> + = 6<span class="sroot">5</span> + 3<span class="sroot">20</span><br> + = 6<span class="sroot">5</span> + 3<span class="sroot">4 × 5</span><br> + = 6<span class="sroot">5</span> + 3<span class="sroot">2<sup>2</sup> × 5</span><br> + = 6<span class="sroot">5</span> + 3 × 2<span class="sroot">5</span><br> + = 6<span class="sroot">5</span> + 6<span class="sroot">5</span><br> + = <strong>12<span class="sroot">5</span></strong><br> + </li> + <li style="margin-top: 10px;"> + <span class="frac"><sup>4</sup><span>⁄</span><sub><span class="sroot">5</span></sub></span><br> + = <span class="frac"><sup>4</sup><span>⁄</span><sub><span class="sroot">5</span></sub></span> × <span class="frac"><sup><span class="sroot">5</span></sup><span>⁄</span><sub><span class="sroot">5</span></sub></span> = <strong><span class="frac"><sup>4<span class="sroot">5</span></sup><span>⁄</span><sub>5</sub></span></strong> + </li> + <li style="margin-top: 10px;"> + <span class="frac"><sup>3<span class="sroot">5</span></sup><span>⁄</span><sub>2<span class="sroot">3</span></sup></sub></span><br> + = <span class="frac"><sup>3<span class="sroot">5</span></sup><span>⁄</span><sub>2<span class="sroot">3</span></sup></sub></span> × <span class="frac"><sup><span class="sroot">3</span></sup><span>⁄</span><sub><span class="sroot">3</span></sup></sub></span><br> + = <span class="frac"><sup><span style="text-decoration: line-through;">3</span><span class="sroot">15</span></sup><span>⁄</span><sub>2 × <span style="text-decoration: line-through;">3</span></sup></sub></span><br> + = <strong><span class="frac"><sup><span class="sroot">15</span></sup><span>⁄</span><sub>2</sup></sub></span></strong> + </li> + <li style="margin-top: 10px;"> + <span class="frac"><sup>5</sup><span>⁄</span><sub><span class="sroot">3</span> - <span class="sroot">2</span></sub></span><br> + = <span class="frac"><sup>5</sup><span>⁄</span><sub><span class="sroot">3</span> - <span class="sroot">2</span></sub></span> × <span class="frac"><sup><span class="sroot">3</span> + <span class="sroot">2</span></sup><span>⁄</span><sub><span class="sroot">3</span> + <span class="sroot">2</span></sub></span><br> + = <span class="frac"><sup>5(<span class="sroot">3</span> + <span class="sroot">2</span>)</sup><span>⁄</span><sub>(<span class="sroot">3</span>)<sup>2</sup> - (<span class="sroot">2</span>)<sup>2</sup></sub></span><br> + = <span class="frac"><sup>5(<span class="sroot">3</span> + <span class="sroot">2</span>)</sup><span>⁄</span><sub>3 - 2</sub></span> = <span class="frac"><sup>5(<span class="sroot">3</span> + <span class="sroot">2</span>)</sup><span>⁄</span><sub>1</sub></span><br> + = <strong>5(<span class="sroot">3</span> + <span class="sroot">2</span>)</strong> + </li> + <li style="margin-top: 10px;"> + <span class="frac"><sup><span class="sroot">5</span> - <span class="sroot">7</span></sup><span>⁄</span><sub><span class="sroot">5</span> - <span class="sroot">2</span></sub></span><br> + = <span class="frac"><sup><span class="sroot">5</span> - <span class="sroot">7</span></sup><span>⁄</span><sub><span class="sroot">5</span> - <span class="sroot">2</span></sub></span> × <span class="frac"><sup><span class="sroot">5</span> + <span class="sroot">2</span></sup><span>⁄</span><sub><span class="sroot">5</span> + <span class="sroot">2</span></sub></span><br> + = <span class="frac"><sup>(<span class="sroot">5</span> - <span class="sroot">7</span>) × (<span class="sroot">5</span> + <span class="sroot">2</span>)</sup><span>⁄</span><sub>(<span class="sroot">5</span>)<sup>2</sup> - (<span class="sroot">2</span>)<sup>2</sup></sub></span><br> + = <span class="frac"><sup>5 + <span class="sroot">10</span> - <span class="sroot">35</span> - <span class="sroot">14</span></sup><span>⁄</span><sub>5 - 2</sub></span> = <strong><span class="frac"><sup>5 + <span class="sroot">10</span> - <span class="sroot">35</span> - <span class="sroot">14</span></sup><span>⁄</span><sub>3</sub></span></strong> + </li> + <li style="margin-top: 10px;"> + (8p<sup>2</sup>3)<sup>3</sup> ÷ 2pq <br> + = (24p<sup>2</sup>)<sup>3</sup> ÷ 2pq <br> + = 24<sup>3</sup> p<sup>6</sup> ÷ 2pq <br> + = <strong>6912p<sup>5</sup> ÷ q</strong> + </li> + <li style="margin-top: 10px;"> + = <span class="frac"><sup>(a<sup><span class="frac"><sup>1</sup><span>⁄</span><sub>3</sub></span></sup>b<sup><span class="frac"><sup>1</sup><span>⁄</span><sub>3</sub></span></sup>)<sup>6</sup></sup><span>⁄</span><sub>(a<sup><span class="frac"><sup>2</sup><span>⁄</span><sub>3</sub></span></sup>b<sup><span class="frac"><sup>4</sup><span>⁄</span><sub>3</sub></span></sup>)<sup>9</sup></sup></sub></span><br> + = <span class="frac"> + <sup>(a<sup><span class="frac"><sup>1</sup><span>⁄</span><sub>3</sub></span></sup>)<sup>6</sup> (b<sup><span class="frac"><sup>1</sup><span>⁄</span><sub>3</sub></span></sup>)<sup>6</sup></sup> + <span>⁄</span> + <sub>(a<sup><span class="frac"><sup>2</sup><span>⁄</span><sub>3</sub></span></sup>)<sup>9</sup> (b<sup><span class="frac"><sup>4</sup><span>⁄</span><sub>3</sub></span></sup>)<sup>9</sup></sub> + </span><br> + = <span class="frac"> + <sup>a<sup>2</sup> b<sup>2</sup></sup> + <span>⁄</span> + <sub>a<sup>6</sup> b<sup>12</sup></sub> + </span><br> + = <strong>a<sup>-4</sup> b<sup>-10</sup></strong> + </li> + <li style="margin-top: 10px;"> + 2<sup>x + 8</sup> = 64 <br> + = <span style="text-decoration: line-through;">2</span><sup>x + 8</sup> = <span style="text-decoration: line-through;">2</span><sup>6</sup><br> + = x + 8 = 6 <br> + = x = 6 - 8 <br> + = <strong>x = -2</strong> + </li> + <li style="margin-top: 10px;"> + 16<sup>2x + 3</sup> = 32 <br> + = (2<sup>4</sup>)<sup>2x + 3</sup> = 2<sup>6</sup><br> + = <span style="text-decoration: line-through;">2</span><sup>8x + 12</sup> = <span style="text-decoration: line-through;">2</span><sup>6</sup> <br> + = 8x + 12 = 6 <br> + = 8x = 6 - 12 <br> + = 8x = 6 <br> + = x = <span class="frac"><sup>-6</sup><span>⁄</span><sub>8</sub></span><br> + = <strong>x = -<span class="frac"><sup>3</sup><span>⁄</span><sub>4</sub></span></strong> + </li> + </ol> + </section> + </div> + + <script src="/scripts/toc.js"></script> + <script src="/scripts/sidebar.js"></script> +</body> + +</html>
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