Answer
$\displaystyle \frac{1}{27}$
Work Step by Step
We simplify:
$\displaystyle 9^{-3/2}=((9)^{1/2})^{-3}=((3^2)^{1/2})^{-3}=3^{-3}=\frac{1}{3^3}=\frac{1}{27}$
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter R - Section R.8 - nth Roots; Rational Exponents - R.8 Assess Your Understanding - Page 79: 69
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