$$\frac{2^{p+1}\cdot3^{2p-q}5^{p+q}6^{q}}{6^{p}}10^{q+2}}15^{p}}$$
$200\times 2^{p}\times 10^{q}\times 3^{2p-q}\times 6^{q-p}\times 5^{p+q}$
$200\ln(15)\times 2^{2q}\times 3^{p}\times 5^{p+2q}$