Answer
$$u^{12}v^{6}$$
Work Step by Step
Raise each factor in the parenteses to the third power:
$$(u^{4}v^{2})^{3}=(u^{4})^{3}\times (v^{2})^{3}.$$
Multiply exponents to raise a power to a power:
$$u^{4\times3}v^{2\times 3}=u^{12}v^{6}.$$
Algebra 2 Common Core
by Hall, Prentice
Published by
Prentice Hall
ISBN 10:
0133186024
ISBN 13:
978-0-13318-602-4
Skills Handbook - Operations With Exponents - Exercises - Page 978: 19
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