Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 11 - Additional Topics - 11.3 - Fractional Exponents - Concept Quiz 11.3 - Page 488: 4

Answer

True.

Work Step by Step

It is true that the denominator of a rational exponent becomes the index of the radical when rewritten in radical form. This comes from the definition of rational exponents, which states that $x^\frac{m}{n}=\sqrt[n] {x^m}$. Notice how $n$ is both the denominator of the rational exponent and the index of the radical.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

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.