College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.4 - Rational Exponents and Radicals - P.4 Exercises: 26

Answer

(a) 1/2 (b) 2 (c) 1/3

Work Step by Step

(a) $\sqrt[5]{\frac{1}{8}}\sqrt[5]{\frac{1}{4}}=\sqrt[5]{\frac{1}{8*4}}=\sqrt[5]{\frac{1}{32}}=\frac{1}{2}$ (b) $\sqrt[6]{\frac{1}{2}}\sqrt[6]{128}=\sqrt[6]{64}=2$ (c) $\displaystyle \frac{\sqrt[3]{4}}{\sqrt[3]{108}}=\sqrt[3]{\frac{4}{108}}=\sqrt[3]{\frac{1}{27}}=\frac{1}{\sqrt[3]{27}}=\frac{1}{3}$
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