Answer
$\sqrt[3] (a^{2}b)$
Work Step by Step
$\sqrt[12] (a^{8}b^{4})=(a^{8}b^{4})^{\frac{1}{12}}=a^{\frac{8}{12}}b^\frac{4}{12}=a^{\frac{2}{3}}b^\frac{1}{3}=(a^{2}b)^{\frac{1}{3}}=\sqrt[3] (a^{2}b)$
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: 81
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