$$(x^{-2}y^{3}z^{0})^{-1}$$
$\frac{x^{2}}{y^{3}}$
$$\frac{1}{x^{-2}y^{3}z^{0}}$$
$$\frac{1}{1}\times \frac{1}{x^{-2}}\times \frac{1}{y^{3}}\times \frac{1}{z^{0}}$$
$$x^{-2\left(-1\right)}y^{3\left(-1\right)}z^{0}$$
$$x^{2}y^{3\left(-1\right)}z^{0}$$
$$x^{2}\times \frac{1}{y^{3}}z^{0}$$
$$x^{2}\times \frac{1}{y^{3}}$$
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$\frac{2x}{y^{3}}$
