Answer
(a) $4a^{4}b$
(b) $8a^{9}b^{12}$
Work Step by Step
(a) $(8a^{6}b^{3/2})^{2/3}=8^{2/3}a^{6(2/3)}b^{(3/2)(2/3)}=4a^{4}b$
(b) $(4a^{6}b^{8})^{3/2}=4^{3/2}a^{6*3/2}b^{8*3/2}=8a^{9}b^{12}$
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: 63
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