$$\frac{2^{3}\times a^{5}}{4^{3}\times a^{3}}$$
$\frac{a^{2}}{8}$
$$\frac{2^{3}a^{5}}{4^{3}a^{3}}$$
$$\frac{2^{3}a^{5-3}}{4^{3}}$$
$$\frac{2^{3}a^{2}}{4^{3}}$$
$$\frac{8a^{2}}{4^{3}}$$
$$\frac{8a^{2}}{64}$$
$$\frac{1}{8}a^{2}$$
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$\frac{a}{4}$
$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{2^{3}a^{2}}{4^{3}})$$
$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{8a^{2}}{4^{3}})$$
$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{8a^{2}}{64})$$
$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{1}{8}a^{2})$$
$$2\times \frac{1}{8}a^{2-1}$$
$$\frac{1}{4}a^{2-1}$$
$$\frac{1}{4}a^{1}$$
$$\frac{1}{4}a$$
