The expression $\displaystyle {\left({3}{a}^{{5}}{b}^{{2}}{c}^{{5}}\right)}^{{2}}{\left({2}{a}^{{5}}{b}^{{4}}{c}^{{4}}\right)}^{{3}}$ equals $\displaystyle {n}{a}^{{r}}{b}^{{s}}{c}^{{t}}$
where $\displaystyle {n}$, the leading coefficient, is:


and $\displaystyle {r}$, the exponent of $\displaystyle {a}$, is:


and $\displaystyle {s}$, the exponent of $\displaystyle {b}$, is:


and finally $\displaystyle {t}$, the exponent of $\displaystyle {c}$, is:
[NOTE: Your answers cannot be algebraic expressions.]