$$(5mn^{2})(-3m^{3}n)$$
$-15n^{3}m^{4}$
$$5^{1}m^{1}n^{2}\left(-3\right)^{1}m^{3}n^{1}$$
$$5^{1}\left(-3\right)^{1}m^{1}m^{3}n^{2}n^{1}$$
$$5^{1}\left(-3\right)^{1}m^{1+3}n^{2+1}$$
$$5^{1}\left(-3\right)^{1}m^{4}n^{2+1}$$
$$5^{1}\left(-3\right)^{1}m^{4}n^{3}$$
$$-15m^{4}n^{3}$$
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$-60\left(mn\right)^{3}$
