Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 4 - Polynomials - Connecting: The Concepts - Exercises: 10

Answer

$\dfrac{b^{20}}{a^{15}}$

Work Step by Step

Use the rule $(\frac{a}{b})^{-m}=(\frac{b}{a})^m$ to obtain: $\left(\dfrac{a^3}{b^4}\right)^{-5}=\left(\dfrac{b^4}{a^3}\right)^5$ Use the rule $(a^m)^n=a^{mn}$ to obtain: $\left(\dfrac{b^4}{a^3}\right)^5=\dfrac{b^{4(5)}}{a^{3(5)}}=\dfrac{b^{20}}{a^{15}}$
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