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diff --git a/lessons-locked/matematika/pangkat-akar/pangkat.html b/lessons-locked/matematika/pangkat-akar/pangkat.html new file mode 100644 index 0000000..7293e93 --- /dev/null +++ b/lessons-locked/matematika/pangkat-akar/pangkat.html @@ -0,0 +1,139 @@ +<!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">Exponents</h1> + <h3 class="banner-text" id="banner-txt">Chapter 1</h3> + </div> + </div> + + <div class="chip-container" id="chip-container"> + <div class="chip"><span>✅ Verified</span></div> + </div> + + <div id="main"> + <section> + <h1 id="exponent">Exponents</h1> + x<sup>n</sup> = x<sub>1</sub> × x<sub>2</sub> × ... × x<sub>n</sub> + <h2 id="exponent--examples">Examples</h2> + <ul> + <li>2<sup>5</sup> = 2 × 2 × 2 × 2 × 2 = 32</li> + <li>5<sup>7</sup> = 5 × 5 × 5 × 5 × 5 × 5 × 5 = 78.125</li> + </ul> + <h1 id="exponent-operations">Exponent Operations</h1> + <h2 id="exponent-operations--multiplication">Multiplication</h2> + a<sup>x</sup> × b<sup>y</sup> = (a × b)<sup>x + y</sup> + <ul> + <li>10<sup>4</sup> × 2<sup>2</sup> = (10 × 2)<sup>4 + 2</sup> = <strong>20<sup>6</sup></strong></li> + </ul> + <h2 id="exponent-operations--division">Division</h2> + a<sup>x</sup> ÷ b<sup>y</sup> = (a ÷ b)<sup>x - y</sup> + <ul> + <li>10<sup>3</sup> ÷ 2<sup>4</sup> = (10 ÷ 2)<sup>4 - 2</sup> = <strong>5<sup>2</sup></strong></li> + </ul> + <h2 id="exponent-operations--exponent">Exponent</h2> + (a<sup>x</sup>)<sup>y</sup> = a<sup>x × y</sup> + <ul> + <li>(2<sup>2</sup>)<sup>3</sup> = 2<sup>2 × 3</sup> <strong>= 2<sup>6</sup> = 64</li></strong> + </ul> + + <h1 id="zero-exponent">Zero Exponent</h1> + <p>a<sup>0</sup> = 1</p> + <h2 id="zero-exponent--examples">Examples</h2> + <ul> + <li>5<sup>0</sup> = 1</li> + <li>7<sup>0</sup> = 1</li> + <li>100<sup>0</sup> = 1</li> + <li>28,67<sup>0</sup> = 1</li> + </ul> + <h1 id="one-exponent">One Exponent</h1> + <p>a<sup>1</sup> = a</p> + <h2 id="one-exponent--examples">Examples</h2> + <ul> + <li>5<sup>1</sup> = 5</li> + <li>7<sup>1</sup> = 7</li> + <li>100<sup>1</sup> = 100</li> + <li>28,67<sup>1</sup> = 28,67</li> + </ul> + <h1 id="fractional-exponent">Fractional Exponent</h1> + <img src="/assets/images/math/fractional_exponent.svg" alt=""> + <p>x <sup><span class="frac"><sup>y</sup><span>⁄</span><sub>z</sub></span></sup> = + <sup>z</sup><span><span class="sroot">x</span><sup style="font-size: small;">y</sup><span></span></span></p> + <h2 id="fractional-exponent--examples">Examples</h2> + <ul> + <li>5 <sup><span class="frac"><sup>1</sup><span>⁄</span><sub>2</sub></span></sup> = + <sup>2</sup><span><span class="sroot">5</span></span></li> + <li>7 <sup><span class="frac"><sup>2</sup><span>⁄</span><sub>3</sub></span></sup> = + <sup>3</sup><span><span class="sroot">7<sup>2</sup></span></span></li> + </ul> + <p><strong>Small Note:</strong> 2</sup><span class="sroot">x</span> or <span class="sroot">x</span> menans square root. The 2 before root should be removed. The 2 is only present for easier purposes.<br>3</sup><span><span class="sroot">x</span> means cubic root.</p> + + <h1 id="exponential-equation">Exponential Equation</h1> + <ol> + <li>2<sup>x + 5</sup> = 64<br> + = <span style="text-decoration: line-through;">2</span><sup>x + 5</sup> = <span style="text-decoration: line-through;">2</span><sup>6</sup> <sub>↖ ubah ke bentuk 2 berpangkat (2<sup>x</sup>)</sub><br> + = x + 5 = 6<br> + = x = <strong>1</strong> + </li> + <li>16<sup>x + 2</sup> = 32<br> + = (2<sup>4</sup>)<sup>x + 2</sup> = 2<sup>5</sup><br> + = <span style="text-decoration: line-through;">2</span><sup>4x + 8</sup> = <span style="text-decoration: line-through;">2</span><sup>5</sup><br> + = 4x + 8 = 5<br> + = 4x = 5 - 8<br> + = 4x = -3<br> + = x = <span class="frac"><sup>-3</sup><span>⁄</span><sub>4</sub></span> = <strong>-<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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