I need to know how to solve this problem

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

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# 2 Answers

(ab)^{c} = a^{c}b^{c}

((a)^{b})^{c} = a^{bc}

~~~~~~~~~~~

(4y^{3})^{2} = 4^{2}(y^{3})^{2} = **
16y ^{6} **

For the first step we use (ab)^{n} = a^{n}b^{n}.

For the second step we use (a^{n})^{m} = a^{nm}.

(4y^{3})^{2} = 4^{2}(y^{3})^{2} = 16y^{6}.