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how do you solve (4y^3)^2

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2 Answers

(ab)c = acbc
((a)b)c = abc
~~~~~~~~~~~
(4y3)2 = 42(y3)2 = 16y6

For the first step we use (ab)n = anbn.

For the second step we use (an)m = anm.

(4y3)2 = 42(y3)2 = 16y6.