$$5m^{2}n^{3}\times3m^{6}n^{5}\div15m^{8}n^{8}$$
$\left(mn\right)^{16}$
$$\frac{5m^{8}n^{3}\times 3n^{5}}{15}m^{8}n^{8}$$
$$\frac{5m^{8}n^{8}\times 3}{15}m^{8}n^{8}$$
$$\frac{15m^{8}n^{8}}{15}m^{8}n^{8}$$
$$m^{8}n^{8}m^{8}n^{8}$$
$$m^{16}n^{8}n^{8}$$
$$m^{16}n^{16}$$
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$16m^{15}n^{16}$
