Answer
$\sqrt[3] {a^{2}b}$
Work Step by Step
$\sqrt[12] {a^{8}b^{4}}=(a^{8}b^{4})^{1/12}=a^{8/12}b^{4/12}=a^{2/3}b^{1/3}=(a^{2}b)^{1/3}=\sqrt[3] {a^{2}b}$
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321726391
ISBN 13:
978-0-32172-639-1
Chapter 10 - Section 10.2 - Rational Exponents - Exercise Set - Page 694: 71
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