Answer
$-4r^6$
Work Step by Step
Apply the property of exponents given by: $(a^m)^{n}=a^{mn}$
$-4r^{-2}(r^4)^{2}=-4r^{-2}r^8$
Add the exponents of r and simplify.
$-4r^{-2}(r^4)^{2}=-4r^{-2+8}=-4r^6$
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: 27
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