Question

Which expression is equivalent to ^5√13^3

Answer 1

Answer:

$13^\frac{3}{5}$

Step-by-step explanation:

$\sqrt[5]{13^3}$

To get equivalent expression , we need to write the radical form into exponential form.

To convert it into exponential form, we apply the following rule

$\sqrt[n]{x^a} =x^\frac{a}{n}$

WE move the radical to the denominator of exponent

$\sqrt[5]{13^3}$  becomes $13^\frac{3}{5}$

Equivalent expression is $13^\frac{3}{5}$

Answer 2

An expression that is equivalent to $\sqrt[5]{13^3}$ is $13^{\frac{3}{5}$