$$[[\frac{x^{2}}{y^{2}}]]^{-2}]\times\frac{x}{y}$$
$\left(\frac{y}{x}\right)^{4}$
$$\left(\frac{x^{2}}{y^{2}}\right)^{-2}$$
$$\frac{\left(x^{2}\right)^{-2}}{\left(y^{2}\right)^{-2}}$$
$$\frac{x^{2\left(-2\right)}}{y^{2\left(-2\right)}}$$
$$\frac{x^{-4}}{y^{2\left(-2\right)}}$$
$$\frac{1}{x^{4}y^{-4}}$$
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