Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Section 7.1 - Radical Expressions and Functions - Concept and Vocabulary Check: 11

Answer

If n is even: $|a|$; If n is odd: $a$

Work Step by Step

If $n$ is even, then the value of $\sqrt[n]{a^n}$ cannot be negative. Thus, if $n$ is even, $\sqrt[n]{a^n} = |a|$. However, if $n$ is odd, $\sqrt[n]{a^n}$ can be any number. Thus,if $n$ is odd, $\sqrt[n]{a^n} = a$.
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.