$$\frac { 2 ^ { 8 } \times a ^ { 5 } } { 4 ^ { 3 } \times a ^ { 3 } }$$
$4a^{2}$
$$\frac{2^{8}a^{5}}{4^{3}a^{3}}$$
$$\frac{2^{8}a^{5-3}}{4^{3}}$$
$$\frac{2^{8}a^{2}}{4^{3}}$$
$$\frac{256a^{2}}{4^{3}}$$
$$\frac{256a^{2}}{64}$$
$$4a^{2}$$
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$8a$
$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{2^{8}a^{2}}{4^{3}})$$
$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{256a^{2}}{4^{3}})$$
$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{256a^{2}}{64})$$
$$\frac{\mathrm{d}}{\mathrm{d}a}(4a^{2})$$
$$2\times 4a^{2-1}$$
$$8a^{2-1}$$
$$8a^{1}$$
$$8a$$
