Algebra 1: Common Core (15th Edition)

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

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 $=2^{2}c^{2}$ = $4c^{2}$
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