$$5 { x }^{ 2 } \div -20 { x }^{ 3 } =$$
$-\frac{x^{5}}{4}$
$$-\frac{1}{4}x^{2}x^{3}$$
$$-\frac{1}{4}x^{5}$$
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$-\frac{5x^{4}}{4}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{1}{4}x^{2}x^{3})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{1}{4}x^{5})$$
$$5\left(-\frac{1}{4}\right)x^{5-1}$$
$$-\frac{5}{4}x^{5-1}$$
$$-\frac{5}{4}x^{4}$$
