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 - Mid-Chapter Review - Mixed Review: 9

Answer

$4$

Work Step by Step

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 given expression, $ 8^{2/3} ,$ is equivalent to \begin{array}{l}\require{cancel} \left( \sqrt[3]{8} \right)^2 \\\\= \left( 2 \right)^2 \\\\= 4 .\end{array}
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