Answer
$3q^{\frac{2}{3}}$
Work Step by Step
Applying the rules of exponents:
$(27q^{\frac{1}{2}})^{\frac{1}{3}}$
$=(3^3q^{\frac{1}{2}})^{\frac{1}{3}}$
$=3q^{\frac{2}{3}}$
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 - Chapter Test - Page 479: 6
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