$$(-\frac{10}{3}pq^{3})\times(\frac{6}{5}p^{3}q)$$
$-4\left(pq\right)^{4}$
$$\left(-\frac{10}{3}\right)^{1}p^{1}q^{3}\times \left(\frac{6}{5}\right)^{1}p^{3}q^{1}$$
$$\left(-\frac{10}{3}\right)^{1}\times \left(\frac{6}{5}\right)^{1}p^{1}p^{3}q^{3}q^{1}$$
$$\left(-\frac{10}{3}\right)^{1}\times \left(\frac{6}{5}\right)^{1}p^{1+3}q^{3+1}$$
$$\left(-\frac{10}{3}\right)^{1}\times \left(\frac{6}{5}\right)^{1}p^{4}q^{3+1}$$
$$\left(-\frac{10}{3}\right)^{1}\times \left(\frac{6}{5}\right)^{1}p^{4}q^{4}$$
$$-4p^{4}q^{4}$$
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$-16p^{3}q^{4}$