Answer
8
Work Step by Step
$4^{\frac{3}{2}}$ implies taking the square root of 4 and then cubing the result.
$(4^{1/2})^3=2^3=8$
$(4^3)^{1/2}=64^{1/2}=8$
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: 4
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