From 81505edfecaea10fab2d68247a7b99645286a54f Mon Sep 17 00:00:00 2001
From: altaf-creator <athaalaa@gmail.com>
Date: Sun, 30 Jul 2023 20:23:36 +0700
Subject: Changed homepage, improved css and added roots, new notes (some not
 finished yet)

---
 lessons/matematika/pangkat-akar/pangkat.html | 34 ++++++++++++++++++++++++----
 1 file changed, 30 insertions(+), 4 deletions(-)

(limited to 'lessons/matematika/pangkat-akar/pangkat.html')

diff --git a/lessons/matematika/pangkat-akar/pangkat.html b/lessons/matematika/pangkat-akar/pangkat.html
index f3af1a2..efba6e1 100644
--- a/lessons/matematika/pangkat-akar/pangkat.html
+++ b/lessons/matematika/pangkat-akar/pangkat.html
@@ -53,10 +53,20 @@
             <h1 id="exponent-operations">Exponent Operations</h1>
             <h2 id="exponent-operations--multiplication">Multiplication</h2>
             a<sup>x</sup> &times; b<sup>y</sup> = (a &times; b)<sup>x + y</sup>
+            <ul>
+                <li>10<sup>4</sup> &times; 2<sup>2</sup> = (10 &times; 2)<sup>4 + 2</sup> = <strong>20<sup>6</sup></strong></li>
+            </ul>
             <h2 id="exponent-operations--division">Division</h2>
             a<sup>x</sup> &divide; b<sup>y</sup> = (a &divide; b)<sup>x - y</sup>
+            <ul>
+                <li>10<sup>3</sup> &divide; 2<sup>4</sup> = (10 &divide; 2)<sup>4 - 2</sup> = <strong>5<sup>2</sup></strong></li>
+            </ul>
             <h2 id="exponent-operations--exponent">Exponent</h2>
-            a<sup>x<sup>y</sup></sup> = a<sup>x &times; y</sup>
+            (a<sup>x</sup>)<sup>y</sup> = a<sup>x &times; y</sup>
+            <ul>
+                <li>(2<sup>2</sup>)<sup>3</sup> = 2<sup>2 &times; 3</sup> <strong>= 2<sup>6</sup> = 64</li>
+
+            </ul>
 
             <h1 id="zero-exponent">Zero Exponent</h1>
             <p>a<sup>0</sup> = 1</p>
@@ -79,14 +89,30 @@
             <h1 id="fractional-exponent">Fractional Exponent</h1>
             <img src="/assets/images/math/fractional_exponent.svg" alt="">
             <p>x&nbsp;<sup><span class="frac"><sup>y</sup><span>&frasl;</span><sub>z</sub></span></sup> =
-                <sup>z</sup><span>√(x</span><sup style="font-size: small;">y</sup><span>)</span></p>
+                <sup>z</sup><span><span class="root">x</span><sup style="font-size: small;">y</sup><span></span></span></p>
             <h2 id="fractional-exponent--examples">Examples</h2>
             <ul>
                 <li>5&nbsp;<sup><span class="frac"><sup>1</sup><span>&frasl;</span><sub>2</sub></span></sup> =
-                    <sup>2</sup><span>√5</span></li>
+                    <sup>2</sup><span><span class="root">5</span></span></li>
                 <li>7&nbsp;<sup><span class="frac"><sup>2</sup><span>&frasl;</span><sub>3</sub></span></sup> =
-                    <sup>3</sup><span>√(5<sup>2</sup>)</span></li>
+                    <sup>3</sup><span><span class="root">5<sup>2</sup></span></span></li>
             </ul>
+            <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>&UpperLeftArrow; 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>&frasl;</span><sub>4</sub></span> = <strong>-<span class="frac"><sup>3</sup><span>&frasl;</span><sub>4</sub></span></strong>
+                </li>
+            </ol>
         </section>
     </div>
 
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