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: 15

Answer

$\sqrt[3]{m^2}$

Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the definition of rational exponents to convert the given expression, $ m^{2/3} ,$ in radical form. $\bf{\text{Solution Details:}}$ Using the definition of rational exponents which is given by $a^{m/n}=\sqrt[n]{a^m}=\left(\sqrt[n]{a}\right)^m,$ the expression above is equivalent to \begin{array}{l}\require{cancel} \sqrt[3]{m^2} .\end{array}
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