Question

Write the radical expression 8/^7√x^15 in exponential form

Answer 1

Answer:

$8 \cdot x^{-\frac{15}{7}}$

Step-by-step explanation:

Using exponent rule:

• $\sqrt[n]{a^m} = a^{\frac{m}{n}}$

• $a^{-m}=\frac{1}{a^m}$

Given the radical expression:

$\frac{8}{\sqrt[7]{x^{15}} }$

Apply the exponent rule:

$\frac{8}{x^{\frac{15}{7}} }$

Again apply the exponent rule:

$8 \cdot x^{-\frac{15}{7}}$

Therefore, the radical expression $\frac{8}{\sqrt[7]{x^{15}} }$ in exponential form is, $8 \cdot x^{-\frac{15}{7}}$

Answer 2

Rembber
$\sqrt[n]{x^m}=x^\frac{m}{n}$
and $\frac{1}{x^m}=x^{-m}$ so

$\frac{8}{ \sqrt[7]{x^{15}} }= \frac{8}{x^ \frac{15}{7} }=8x^{(\frac{-15}{7})}$