Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Appendix A - Review - A.7 nth Roots; Rational Exponents - A.7 Assess Your Understanding - Page A61: 74

Answer

$ \frac{8}{x^3y}$

Work Step by Step

$\frac{(4x^{-1}y^{1/3})^{3/2}}{(xy)^{3/2}}=[\frac{2^{6}x^{-3}y}{x^3y^3}]^{1/2}=[\frac{2^{6}}{x^6y^2}]^{1/2}=\frac{8}{x^3y}$
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