The expression
(x4y2)3(xy3)2x4y4\displaystyle {\frac{{{\left({x}^{{4}}{y}^{{2}}\right)}^{{3}}{\left({x}{y}^{{3}}\right)}^{{-{2}}}}}{{{x}^{{4}}{y}^{{4}}}}}

equals xeyd\displaystyle \frac{{x}^{{{e}}}}{{y}^{{{d}}}} where
the exponent e\displaystyle {e} of x\displaystyle {x} is , the exponent d\displaystyle {d} of y\displaystyle {y} is .