Answer
$2\sqrt x$
Work Step by Step
$\sqrt[4] (16x^{2})=(16x^{2})^{\frac{1}{4}}=(4^{2}x^{2})^{\frac{1}{4}}=4^{\frac{2}{4}}x^{\frac{2}{4}}=4^{\frac{1}{2}}x^{\frac{1}{2}}=2\sqrt x$
We know that $4^{\frac{1}{2}}=2$, because $2^{2}=4$.
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 7 - Section 7.2 - Rational Exponents - Exercise Set - Page 425: 77
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