We can write $\displaystyle {{\log}_{{3}}{\left({x}^{{16}}\cdot{\sqrt[{{3}}]{{{y}^{{13}}}}}\right)}}$
into the form $\displaystyle {A}{{\log}_{{3}}{x}}+{B}{{\log}_{{3}}{y}}$

where $\displaystyle {A}=$ and $\displaystyle {B}=$ .
Write $\displaystyle {A}$ and $\displaystyle {B}$ as integers or reduced fractions.