Answer
$25(2 b+1)^{20}$
Work Step by Step
First we divide within the larger parentheses.
$$
\left(\frac{35(2 b+1)^9}{7(2 b+1)^{-1}}\right)^2=\left(5(2 b+1)^{9-(-1)}\right)^2=\left(5(2 b+1)^{10}\right)^2= 25(2 b+1)^{20}
$$
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 4 - Exponential Functions - Exercises to Skills for Chapter 4 - Page 185: 55
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