Chapter 11.10, Problem 10E

To determine

To find: The exponential form of the given radicals.

Answer to Problem 10E

The exponential form is ${\left(-12\right)}^{\frac{1}{5}}$ .

Explanation of Solution

Given:

The given radical is:

  $\left(\sqrt[5]{-12}\right)$

The exponential form is calculated as:

  $\begin{array}{c}\left(\sqrt[5]{-12}\right)=\left(\sqrt[5]{{\left(-12\right)}^1}\right)\\ ={\left(-12\right)}^{\frac{1}{5}}\end{array}$

Therefore the exponential form is ${\left(-12\right)}^{\frac{1}{5}}$ .