Answer
See below
Work Step by Step
Rewrite $16$ as a power of $4$:
$$(\frac{16^{1/2}}{4^{1/2}})^5=[\frac{(4^2)^{1/2}}{4^{1/2}}]^5=(\frac{4}{4^{1/2}})^5=(4^{1/2})^5=2^5=32$$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 6 Rational Exponents and Radical Functions - Mixed Review of Problem Solving - Lessons 6.1-6.3 - Page 436: 6
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