College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter R - Section R.7 - Radical Expressions - R.7 Exercises - Page 67: 28



Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the properties of radicals to simplify the given expression, $ \sqrt[6]{x^6} .$ $\bf{\text{Solution Details:}}$ Using a property of radicals which is given by $\sqrt[n]{x^m}=\left|x^{m/n}\right|$ if $(m/n)$ is odd and $\sqrt[n]{x^m}=x^{m/n}$ if $(m/n)$ is even, the expression above is equivalent to \begin{array}{l}\require{cancel} |x| .\end{array}
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