use the quotient rule to simplify the expression assume that all bases are not equal to zero

To solve this problem, we have to divide like powers, to do that, we just need to subtract their exponents.
[tex]\frac{p^8q^9}{pq^4}=p^{8-1}q^{9-4}=p^7q^5[/tex]Hence, the simplest form is
[tex]p^7q^5[/tex]