Answer
$\frac{625}{a^{-10}}$
Work Step by Step
Apply the property of exponents given by: $(a^m)^n=a^{mn}$
$(5a^{-1})^4(a^2)^{-3}=5^4a^{-4}a^{-6}$
Add the exponents of m and simplify.
$(5a^{-1})^4(a^2)^{-3}=625a^{-10}=\frac{625}{a^{10}}$
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: 29
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