#### Answer

$8^{9/11}$

#### Work Step by Step

Using the laws of exponents, the given expression, $
\dfrac{8^{7/11}}{8^{-2/11}}
,$ simplifies to
\begin{array}{l}\require{cancel}
8^{\frac{7}{11}-\left( -\frac{2}{11} \right)}
\\\\=
8^{\frac{7}{11}+\frac{2}{11}}
\\\\=
8^{\frac{9}{11}}
\\\\=
8^{9/11}
.\end{array}