Simplify:

(a7b7)1(a1)3(ab9)9\displaystyle \frac{{{\left({a}^{{7}}{b}^{{-{{7}}}}\right)}^{{-{{1}}}}{\left({a}^{{-{{1}}}}\right)}^{{3}}}}{{\left({a}{b}^{{9}}\right)}^{{-{{9}}}}}