Answer
$\sqrt[6] {200}$
Work Step by Step
$\sqrt[3] 5\sqrt 2=5^{1/3}2^{1/2}=5^{2/6}2^{3/6}=(5^{2}2^{3})^{1/6}=(200)^{1/6}=\sqrt[6] {200}$
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321726391
ISBN 13:
978-0-32172-639-1
Chapter 10 - Section 10.2 - Rational Exponents - Exercise Set - Page 694: 82
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