The expression
$\displaystyle {\frac{{{\left({x}^{{4}}{y}^{{4}}{z}^{{5}}\right)}^{{6}}}}{{{\left({x}^{{5}}{y}^{{4}}{z}\right)}^{{5}}}}}$

equals $\displaystyle \frac{{{y}^{{r}}{z}^{{s}}}}{{x}^{{t}}}$ where
$\displaystyle {r}$, the exponent of $\displaystyle {y}$, is:
$\displaystyle {s}$, the exponent of $\displaystyle {z}$, is:
$\displaystyle {t}$, the exponent of $\displaystyle {x}$, is: