Answer
$4c^{2}$
Work Step by Step
$\sqrt{(2c)^{4}}=\sqrt[2]{(2c)^{4}}\quad $... apply $\ \ \sqrt[n]{a^{m}}=a^{m/n},$
$=(2c)^{4/2}$
$=(2c)^{2}\qquad $ ... power of a product
$=2^{2}c^{2}$
= $4c^{2}$
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281140
ISBN 13:
978-0-13328-114-9
Chapter 7 - Exponents and Exponential Functions - 7-5 Rational Exponents and Radicals - Practice and Problem-Solving Exercises - Page 451: 27
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