Answer
$x^{-\frac{3}{5}}$
Work Step by Step
RECALL:
(i) $a^{-m} = \dfrac{1}{a^m}$
(ii) $\sqrt[n]{a^m} = a^{\frac{m}{n}}$
Use rule (ii) above to obtain:
$=\dfrac{1}{x^{\frac{3}{5}}}$
Use rule (i) above to to obtain:
$=x^{-\frac{3}{5}}$
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 - Section P.4 - Rational Exponents and Radicals - P.4 Exercises - Page 30: 72
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