$$\frac { ( - m ^ { 4 } n ^ { 3 } ) ^ { - 4 } \cdot 2 m ^ { 2 } n ^ { 2 } } { 2 m ^ { 2 } n ^ { - 2 } }$$
$\frac{1}{n^{8}m^{16}}$
$$\frac{\left(n^{3}\left(-m^{4}\right)\right)^{-4}n^{2}}{n^{-2}}$$
$$\left(n^{3}\left(-m^{4}\right)\right)^{-4}n^{4}$$
$$\left(n^{3}\right)^{-4}\left(-m^{4}\right)^{-4}n^{4}$$
$$n^{-12}\left(-m^{4}\right)^{-4}n^{4}$$
$$n^{-8}\left(-m^{4}\right)^{-4}$$
$$n^{-8}\left(-1\right)^{-4}\left(m^{4}\right)^{-4}$$
$$n^{-8}\left(-1\right)^{-4}m^{-16}$$
$$n^{-8}\times 1m^{-16}$$
$$n^{-8}m^{-16}$$
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