College Algebra (11th Edition)

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

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. $(5a^{-1})^4(a^2)^{-3}=625a^{-10}=\frac{625}{a^{10}}$
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