Answer
$2/27$.
Work Step by Step
=$(1/4)^{-2}/(1/6)^{-3}$
=$(4^{-1})^{-2}/(6^{-1})^{-3}$
=$4^{2}/6^{3}$ (since $(a^{b})^{c}=a^{bc}$)
=$4*4/6*6*6$
=$2/27$
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