$$(5x^{-2}y^{-2})\div x^{-5}$$
$15\times \left(\frac{x}{y}\right)^{2}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5}{y^{2}}x^{-2-\left(-5\right)})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5}{y^{2}}x^{3})$$
$$3\times \frac{5}{y^{2}}x^{3-1}$$
$$\frac{15}{y^{2}}x^{2}$$
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$\frac{5x^{3}}{y^{2}}$
$$5y^{-2}x^{3}$$
