$$( 5 x ^ { 2 } ) ( 3 x ^ { 6 } ) =$$
$15x^{8}$
$$5x^{8}\times 3$$
$$15x^{8}$$
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$120x^{7}$
$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{8}\times 3)$$
$$\frac{\mathrm{d}}{\mathrm{d}x}(15x^{8})$$
$$8\times 15x^{8-1}$$
$$120x^{8-1}$$
$$120x^{7}$$
