Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 7 - Section 7.2 - Rational Exponents - 7.2 Exercises: 47

Answer

$\left( \sqrt[3]{2y+x} \right)^{2}$

Work Step by Step

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