Answer
$\frac{9}{p^{11}}$
Work Step by Step
Apply the property of exponents given by: $(a^m)^n=a^{mn}$
$(3p^{-4})^2(p^3)^{-1}=3^2p^{-8}p^{-3}$
Add the exponents of m and simplify.
$(3p^{-4})^2(p^3)^{-1}=9a^{-11}=\frac{9}{p^{11}}$
College Algebra (11th Edition)
by Lial, Margaret L.; Hornsby John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671791
ISBN 13:
978-0-32167-179-0
Chapter R - Section R.6 - Rational Exponents - R.6 Exercises - Page 56: 30
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