Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 5 - Section 5.6 - Integrated Review - Exponents and Operations on Polynomials: 18

Answer

$\dfrac{r^{58}}{16s^{14}}$

Work Step by Step

$\dfrac{(r^7s^{-5})^6}{(2r^{-4}s^{-4})^4}=\dfrac{(r^{7*6}s^{-5*6})}{(2^4r^{-4*4}s^{-4*4})}=\dfrac{(r^{42}s^{-30})}{(16r^{-16}s^{-16})}=\dfrac{(r^{42}r^{16}s^{16})}{(16s^{30})}=\dfrac{r^{(42+16)}s^{(16-30)}}{16}=\frac{1}{16}r^{58}s^{-14}=\dfrac{r^{58}}{16s^{14}}$
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