College Algebra 7th Edition

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


(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) $(4a^{6}b^{8})^{3/2}=4^{3/2}a^{6*3/2}b^{8*3/2}=8a^{9}b^{12}$
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