Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 8 - Section 8.2 - Multiplying and Dividing Radicals - Exercise Set - Page 586: 116



Work Step by Step

$\sqrt[3]{16x^4}$ Factor out the perfect cubes. $\sqrt[3]{8\times2\times x^3\times x}$ Use the product rule for nth roots. $\sqrt[3]{8}\times\sqrt[3]2\times\sqrt[3]{x^3}\times\sqrt[3]{x}$ Simplify. $2\times\sqrt[3]2\times x\times\sqrt[3]{x}$ Use the product rule for nth roots. $2x\times\sqrt[3]{2x}$
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