$$\frac { ( - 2 x ^ { - 4 } ) ^ { - 3 } } { - 2 x ^ { 2 } y ^ { - 3 } \cdot - 2 x y ^ { 0 } }$$
$-\frac{y^{3}x^{9}}{32}$
$$\frac{\left(-2x^{-4}\right)^{-3}}{-2x^{3}y^{-3}\left(-2\right)y^{0}}$$
$$\frac{\left(-2x^{-4}\right)^{-3}}{-2x^{3}y^{-3}\left(-2\right)}$$
$$\frac{\left(-2\right)^{-3}\left(x^{-4}\right)^{-3}}{-2x^{3}y^{-3}\left(-2\right)}$$
$$\frac{\left(-2\right)^{-3}x^{12}}{-2x^{3}y^{-3}\left(-2\right)}$$
$$\frac{-\frac{1}{8}x^{12}}{-2x^{3}y^{-3}\left(-2\right)}$$
$$\frac{-\frac{1}{8}x^{12}}{4x^{3}y^{-3}}$$
$$\frac{-\frac{1}{8}x^{9}}{4y^{-3}}$$
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$-\frac{9y^{3}x^{8}}{32}$
