The expression
(3a47b16)1\displaystyle {\left({\frac{{{3}{a}^{{-{4}}}}}{{{7}{b}^{{-\frac{{1}}{{6}}}}}}}\right)}^{{-{1}}}

equals narbt\displaystyle {n}\frac{{a}^{{r}}}{{b}^{{t}}} where
n, the coefficient, is:  
r, the exponent of a, is:  
t, the exponent of b, is: