$$\frac { 10 m ^ { 5 } n ^ { 4 } } { 2 m ^ { 2 } n }$$
$5\left(mn\right)^{3}$
$$\frac{10^{1}m^{5}n^{4}}{2^{1}m^{2}n^{1}}$$
$$\frac{10^{1}}{2^{1}}m^{5-2}n^{4-1}$$
$$\frac{10^{1}}{2^{1}}m^{3}n^{4-1}$$
$$\frac{10^{1}}{2^{1}}m^{3}n^{3}$$
$$5m^{3}n^{3}$$
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$15n^{2}m^{3}$
