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 - Page 30: 65


(a) $\frac{1}{4y^{2}}$ (b) $\frac{1}{u^{4/3}v^{2}}$

Work Step by Step

(a) $(8y^{3})^{-2/3}=8^{-2/3}y^{3*-2/3}=\frac{1}{4y^{2}}$ (b) $(u^{4}v^{6})^{-1/3}=u^{4*-1/3}v^{6*-1/3}=\frac{1}{u^{4/3}v^{2}}$
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