Answer
$2$
Work Step by Step
$\sqrt[n] {a^n}=a$ if $n$ is odd.
$8=2^3$, so $\sqrt[3]{8}=\sqrt[3]{2^3}=2$.
Thus $8^{\frac{1}{3}}=\sqrt[3]{2^3}=2$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 7 - Section 7.2 - Rational Exponents - Concept and Vocabulary Check - Page 521: 2
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