$$(4mn)(0.5n { m }^{ 2 } )$$
$2n^{2}m^{3}$
$$4^{1}m^{1}n^{1}\times 0.5^{1}m^{2}n^{1}$$
$$4^{1}\times 0.5^{1}m^{1}m^{2}n^{1}n^{1}$$
$$4^{1}\times 0.5^{1}m^{1+2}n^{1+1}$$
$$4^{1}\times 0.5^{1}m^{3}n^{1+1}$$
$$4^{1}\times 0.5^{1}m^{3}n^{2}$$
$$2m^{3}n^{2}$$
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$6\left(mn\right)^{2}$
