Answer
$F$
Work Step by Step
Apply power rule of exponents: $(p^a)^b=p^{ab}$
$(3m^2n^4)^3=(3)^3(m^2)^3(n^4)^3$
$=27(m^{2 \times 3})(n^{4 \times 3})$
$=27m^{6}n^{12}$
Hence, the correct answer is $F$.
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