Answer
$64x^6$
Work Step by Step
RECALL:
(1) $(a^m)^n=a^{mn}$
(2) $(ab)^m=a^mb^m$
Use rule (2) above to obtain:
$=8^2(x^3)^2
\\=8(8)(x^3)^2
\\=64(x^3)^2$
Use rule (1) above to obtain:
$=64x^{3\cdot2}
\\=64x^6$
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter R - Section R.2 - Algebra Essentials - R.2 Assess Your Understanding - Page 27: 87
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