Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-5 Rational Exponents and Radicals - Practice and Problem-Solving Exercises - Page 450: 18

Answer

$8\sqrt[4] (4b)^3$

Work Step by Step

$(64b)^{\frac{3}{4}}$ $=(16.4b)^{\frac{3}{4}}$ $=(2^4.4b)^{\frac{3}{4}}$ $=2^3.(4b)^{\frac{3}{4}}$ $=8.(4b)^{\frac{3}{4}}$ $=8\sqrt[4] (4b)^3$
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