The expression
(x3yy3)27\displaystyle {\left({\frac{{{x}^{{3}}{y}}}{{{y}^{{3}}}}}\right)}^{{\frac{{2}}{{7}}}}

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