Answer
$\frac{4a^{4}c^{6}}{b^{12}}$
Work Step by Step
$(\displaystyle \frac{ab^{2}c^{-3}}{2a^{3}b^{-4}})^{-2}=\frac{a^{-2}b^{-4}c^6}{2^{-2}a^{-6}b^{8}}=2^{2}a^{-2- -6}b^{-4-8}c^6=4a^{4}b^{-12}c^6=\frac{4a^{4}c^{6}}{b^{12}}$
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 - Chapter P Review - Exercises - Page 76: 46
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