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: 62

Answer

$\dfrac{5\sqrt[5]{y^4}z}{\sqrt[3]{x^2}}$

Work Step by Step

Using the laws of exponents, the given expression, $ 5x^{-2/3}y^{4/5}z ,$ is equivalent to \begin{array}{l}\require{cancel} \dfrac{5y^{4/5}z}{x^{2/3}} .\end{array} Using $a^{m/n}=\sqrt[n]{a^m}=(\sqrt[n]{a})^m$, the expression, $ \dfrac{5y^{4/5}z}{x^{2/3}} ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{5\sqrt[5]{y^4}z}{\sqrt[3]{x^2}} .\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.