$$\frac{2^{2}\times x^{4}\times16}{x^{2}\times8}$$
$8x^{2}$
$$2\times 2^{2}x^{2}$$
$$2^{3}x^{2}$$
$$8x^{2}$$
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$16x$
$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{64}{8}x^{4-2})$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(8x^{2})$$
$$2\times 8x^{2-1}$$
$$16x^{1}$$
$$16x$$