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 7.2 - Rational Exponents - Exercise Set: 36

Answer

$(9x^2y)^{\frac{5}{6}}$

Work Step by Step

RECALL: $(\sqrt[n]{a})^m=\left(a^{\frac{1}{n}}\right)^m=a^{\frac{m}{n}}$ For the given expression, $n=6$, $a=9x^2y$, and $m=5$. Thus, using the rule above gives: $\left(\sqrt[6]{9x^2y}\right)^5=\left((9x^2y)^{\frac{1}{6}}\right)^5=(9x^2y)^{\frac{5}{6}}$
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.