Question

Which expression is equivalent to ^5√13^3

Answer 1

An expression that is equivalent to
`\sqrt[5]{13^3}` is
`13^{(3)/(5)`

Answer 2

`13^(3)/(5)`

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^(a)/(n)`

WE move the radical to the denominator of exponent

`\sqrt[5]{13^3}` becomes
`13^(3)/(5)`

Equivalent expression is
`13^(3)/(5)`