Answer
$\displaystyle -\frac{1}{27}$
Work Step by Step
We simplify:
$-81^{-3/4}=(-\displaystyle \frac{1}{81})^{3/4}=-(\sqrt[4]{\frac{1}{81}})^3=-(\frac{1}{3})^3 =-\frac{1}{27}$
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: 78
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