Answer
$|x|$
Work Step by Step
RECALL:
(i) $\sqrt[n]{a^n} = |a|$ when $n$ is even
(ii) $\sqrt[n]{a^n} = a$ when $n$ is odd
The given radical has n=4, which is even.
Use rule (i) above to obtain:
$\sqrt[4]{x^4}=|x|$
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 29: 27
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