Evaluate: (39p^4q^5)/(3p^2q^2)

Expression: $\frac{39p^{4}q^{5}}{3p^{2}q^{2}}$

Factor the number: $ 39=3\cdot 13$

$=\frac{3\cdot 13p^{4}q^{5}}{3p^{2}q^{2}}$

Cancel the common factor: $ 3$

$=\frac{13p^{4}q^{5}}{p^{2}q^{2}}$

Simplify $\frac{p^{4}}{p^{2}}:{\quad}p^{2}$

$=\frac{13p^{2}q^{5}}{q^{2}}$

Simplify $\frac{q^{5}}{q^{2}}:{\quad}q^{3}$

$=13p^{2}q^{3}$