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: 78

Answer

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

Work Step by Step

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