$$\frac{ { x }^{ 8 } }{ { x }^{ 4 } }$$
$x^{4}$
$$\frac{x^{8}}{x^{4}}$$
$$x^{8-4}$$
$$x^{4}$$
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$4x^{3}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{1}x^{8-4})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{4})$$
$$4x^{4-1}$$
$$4x^{3}$$