Answer
$4^{8}y^{6}x^{2}$
Work Step by Step
$(\frac{4^{-4}}{y^{3}x})^{-2}$
[ Using $\frac{1}{a^{n}}= a^{-n}]$
$= (4^{-4}y^{-3}x^{-1})^{-2}$
$= (4^{-4})^{-2}(y^{-3})^{-2}(x^{-1})^{-2}$
[Using $(a^{m})^{n} =a^{m \times n} ]$
$=4^{8}y^{6}x^{2}$