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: 30

Answer

$3c^{2/3}$

Work Step by Step

$\sqrt[3]{27c^{2}}$=$\sqrt[3]{3^{3}\cdot c^{2}}$ $=3\cdot\sqrt[3]{c^{2}}\quad $... apply $\ \ \sqrt[n]{a^{m}}=a^{m/n},$ = $3c^{2/3}$
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