# Chapter 7 - Summary Exercises - Performing Operations with Radicals and Rational Exponents - Page 477: 2

The given radical expression, $\sqrt[15]{x^5} ,$ is not simplified because the exponent in the radicand and the index of the radical have a $GCF$ equal to $5$.

#### Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the following conditions in checking if a radical is in simplest form: 1. The radicand has no factor raised to a power greater than or equal to the index. 2. The radicand has no fractions. 3. No denominator contains a radical. 4. Exponents in the radicand and the index of radical have greatest common factor 1. $\bf{\text{Solution Details:}}$ The given radical expression, $\sqrt[15]{x^5} ,$ is not simplified because the exponent in the radicand and the index of the radical have a $GCF$ equal to $5$.

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.