College Algebra (10th Edition)

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: 69

Answer

$\displaystyle \frac{1}{27}$

Work Step by Step

We simplify: $\displaystyle 9^{-3/2}=((9)^{1/2})^{-3}=((3^2)^{1/2})^{-3}=3^{-3}=\frac{1}{3^3}=\frac{1}{27}$
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