Answer
$729$
Work Step by Step
$(a^m)^n=a^{mn}$
Thus $81^{\frac{3}{2}}=(9^2)^{\frac{3}{2}}=9^{2\cdot\frac{3}{2}}=9^3=729$
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 521: 11
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