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: 66


(a) $\frac{x^{3}}{y^{1/5}}$ (b) $r^{4}$

Work Step by Step

(a) $(x^{-5}y^{1/3})^{-3/5}=x^{-5*-3/5}y^{(1/3)(-3/5)}=\frac{x^{3}}{y^{1/5}}$ (b) $(4r^{8}t^{-1/2})^{1/2}(32t^{-5/4})^{-1/5}=4^{1/2}r^{8*1/2}t^{(-1/2)(1/2)}(32)^{-1/5}f^{(-5/4)(-1/5)}=2r^{4}t^{-1/4}(\frac{1}{2})t^{1/4}=r^{4}t^{0}=r^{4}*1=r^{4}$
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