Answer
B. $\frac{27x^{12}}{64y^{3}}$
Work Step by Step
$(\frac{3x^{4}}{4y})^{3}=\frac{3^{3}(x^{4})^{3}}{4^{3}y^{3}}=\frac{27x^{4\times3}}{64y^{3}}=\frac{27x^{12}}{64y^{3}}$
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