Answer
$81$
Work Step by Step
Use the rule $(a^m)^n= a^{mn}$ to obtain:
$=3^{(\frac{4}{5} \cdot 5)}
\\=3^{\frac{20}{5}}
\\=3^4
\\=3(3)(3)(3)
\\=81$
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 - Exercise Set - Page 522: 66
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