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1 files changed, 30 insertions, 4 deletions
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> × 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>y</sup></sup> = a<sup>x × y</sup> + (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> + + </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 <sup><span class="frac"><sup>y</sup><span>⁄</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 <sup><span class="frac"><sup>1</sup><span>⁄</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 <sup><span class="frac"><sup>2</sup><span>⁄</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>↖ 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> |