Answer
$\frac{1}{6}$
Work Step by Step
We convert the negative exponent to a fraction and the fraction exponent to a root:
$216^{-1/3}=\displaystyle \frac{1}{216^{1/3}}=\frac{1}{\sqrt[3]{216}}=\frac{1}{6}$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter P, Prerequisites - Chapter P Review - Exercises - Page 76: 29
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