simplify exponents with no fractional exponents in the denominator

I'm not exactly sure if I'm doing correctly, but I'll try my best. 

First off, let's note that $a^x \cdot a^y = a^{x+y}$. 

Using this logic, we would have $q^{\frac{5}{3}}p^{\frac{5}{4}}r^{\frac{31}{12}}$. 

In order to not have fractional exponents, we would have to put these into radical form. 

Note that $a^{x/y} = \sqrt[y]{a^x}$.

We would get $\sqrt[3]{q^5} \cdot \sqrt[4]{p^5} \cdot \sqrt[12]{r^{31}}$.

I hope I answered your question!

Thanks! :)