Simplify and write the expression (2223)2\displaystyle {\left({2}^{{2}}\cdot{2}^{{3}}\right)}^{{2}} in exponential form ab\displaystyle {a}^{{b}}.
Your answer is ab\displaystyle {a}^{{b}} where a=\displaystyle {a}=   and b=\displaystyle {b}=   .

Simplify and write the expression in exponential form cd\displaystyle {c}^{{d}}: (53)25355\displaystyle \frac{{{\left({5}^{{3}}\right)}^{{2}}\cdot{5}^{{3}}}}{{5}^{{5}}}.
Your answer is cd\displaystyle {c}^{{d}} where c=\displaystyle {c}=   and d=\displaystyle {d}=   .