$$8a^{2}\times8a^{10}$$
$64a^{12}$
$$8a^{12}\times 8$$
$$64a^{12}$$
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$768a^{11}$
$$\frac{\mathrm{d}}{\mathrm{d}a}(8a^{12}\times 8)$$
$$\frac{\mathrm{d}}{\mathrm{d}a}(64a^{12})$$
$$12\times 64a^{12-1}$$
$$768a^{12-1}$$
$$768a^{11}$$