Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - 10.2 Rational Numbers as Exponents - 10.2 Exercise Set - Page 641: 100



Work Step by Step

Using $a^{m/n}=\sqrt[n]{a^m}=(\sqrt[n]{a})^m$, the given expression, $ \left( \sqrt[3]{x^2y^5} \right)^{12} ,$ is equivalent to \begin{array}{l}\require{cancel} (x^2y^5)^{12/3} \\\\= (x^2y^5)^{4} \\\\= x^{2(4)}y^{5(4)} \\\\= x^{8}y^{20} .\end{array}
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.