Question

Escriba en cada casilla la expresión algebraica adecuada

Answer 1

Explicación paso a paso:

Para este ejercicio debemos tener en cuenta una propiedad de la exponenciación:

$\frac{a {}^{n} }{a {}^{m} } = a{}^{n - m} </strong><strong>\</strong><strong>\</strong><strong>\</strong><strong>\</strong><strong> </strong><strong>{</strong><strong>a</strong><strong>}</strong><strong>^</strong><strong>{</strong><strong>-n</strong><strong>}</strong><strong>=</strong><strong>\</strong><strong>f</strong><strong>r</strong><strong>a</strong><strong>c</strong><strong>{</strong><strong>1</strong><strong>}</strong><strong>{</strong><strong>{</strong><strong>a</strong><strong>}</strong><strong>^</strong><strong>{</strong><strong>n</strong><strong>}</strong><strong> </strong><strong>$

Entonces, comencemos

$1) \frac{ {r}^{12} }{r {}^{3} } = r {}^{9} \\ \\ 2) \frac{ {z}^{15} }{ {z}^{11} } = {z}^{4} \\ \\ 3) \frac{7 {n}^{3} }{ {n}^{5} } = \frac{7}{ {n}^{2} }</strong><strong>4</strong><strong>) \frac{</strong><strong>9</strong><strong>0</strong><strong>{</strong><strong>y</strong><strong>}^</strong><strong>{</strong><strong>1</strong><strong>1</strong><strong>} }{ {</strong><strong>9</strong><strong>y</strong><strong>}^{</strong><strong>8</strong><strong>} } = \frac{</strong><strong>1</strong><strong>0</strong><strong>}{ {</strong><strong>y</strong><strong>}^{</strong><strong>3</strong><strong>} } </strong><strong>\</strong><strong>\</strong><strong>\</strong><strong>\</strong><strong>5</strong><strong>) \frac{</strong><strong>1</strong><strong>2</strong><strong> {</strong><strong>x</strong><strong>}^{</strong><strong>5</strong><strong>}</strong><strong>{</strong><strong>y</strong><strong>}</strong><strong>^</strong><strong>{</strong><strong>8</strong><strong>}</strong><strong> }{ {</strong><strong>1</strong><strong>0</strong><strong>x</strong><strong>}^{</strong><strong>6</strong><strong>}</strong><strong>{</strong><strong>y</strong><strong>}</strong><strong>^</strong><strong>{</strong><strong>6</strong><strong>} = \frac{</strong><strong>6</strong><strong>{</strong><strong>y</strong><strong>}</strong><strong>^</strong><strong>{</strong><strong>2</strong><strong>}</strong><strong>}{ </strong><strong>5</strong><strong>x</strong><strong>} </strong><strong>\</strong><strong>\</strong><strong>\</strong><strong>\</strong><strong>6</strong><strong>) \frac{</strong><strong>-</strong><strong>3</strong><strong> {</strong><strong>m</strong><strong>}^{</strong><strong>2</strong><strong>}</strong><strong>n</strong><strong>{</strong><strong>}</strong><strong>^</strong><strong>{</strong><strong>8</strong><strong>}</strong><strong> }{</strong><strong>-3m</strong><strong> {n}^{</strong><strong>9</strong><strong>} } = \frac{</strong><strong>m</strong><strong>}{ </strong><strong>n</strong><strong> } </strong><strong>$

(っ.❛ ᴗ ❛.)っ