Answer
$\frac{27a^{12}}{b^{6}}$
Work Step by Step
$(\frac{3a^{4}}{b^{2}})^{3}$=$\frac{(3a^{4})^{3}}{(b^{2})^{3}}$=$\frac{(3)^{3}(a^{4})^{3}}{b^{6}}$=$\frac{27a^{12}}{b^{6}}$
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