$$\frac { x ^ { 2 } y ^ { 4 } \cdot - 2 y x ^ { 2 } } { ( x ^ { 4 } ) ^ { - 2 } }$$
$-2y^{5}x^{12}$
$$\frac{x^{4}y^{4}\left(-2\right)y}{\left(x^{4}\right)^{-2}}$$
$$\frac{x^{4}y^{5}\left(-2\right)}{\left(x^{4}\right)^{-2}}$$
$$\frac{x^{4}y^{5}\left(-2\right)}{x^{-8}}$$
$$-2y^{5}x^{12}$$
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$-24y^{5}x^{11}$