Chapter 11.10, Problem 7E

To determine

To find: The exponential form of the given radicals.

Answer to Problem 7E

The exponential form is ${\left(-15\right)}^{\frac{1}{3}}$ .

Explanation of Solution

Given:

The given radical is:

  $\left(\sqrt[3]{-15}\right)$

The exponential form is calculated as:

  $\begin{array}{c}\left(\sqrt[3]{-15}\right)=\left(\sqrt[3]{{\left(-15\right)}^1}\right)\\ ={\left(-15\right)}^{\frac{1}{3}}\end{array}$

Therefore the exponential form is ${\left(-15\right)}^{\frac{1}{3}}$ .