Chapter 11.10, Problem 9E

To determine

To find: The exponential form of the given radicals.

Answer to Problem 9E

The exponential form is ${\left(10\right)}^{\frac{1}{6}}$ .

Explanation of Solution

Given:

The given radical is:

  $\left(\sqrt[6]{10}\right)$

The exponential form is calculated as:

  $\begin{array}{c}\left(\sqrt[6]{10}\right)=\left(\sqrt[6]{{\left(10\right)}^1}\right)\\ ={\left(10\right)}^{\frac{1}{6}}\end{array}$

Therefore the exponential form is ${\left(10\right)}^{\frac{1}{6}}$ .