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 - 10.3 Multiplying Radical Expressions - 10.3 Exercise Set - Page 647: 41



Work Step by Step

Extracting the perfect cube factor of the radicand, the given function, $ f(x)=\sqrt[3]{40x^6} ,$ simplifies to \begin{array}{l}\require{cancel} f(x)=\sqrt[3]{40x^6} \\\\ f(x)=\sqrt[3]{8x^6\cdot5} \\\\ f(x)=\sqrt[3]{(2x^2)^3\cdot5} \\\\ f(x)=2x^2\sqrt[3]{5} .\end{array}
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