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\frac{-19}{\left(-11\right)^{2}-64}
Subtract 8 from -11 to get -19.
\frac{-19}{121-64}
Calculate -11 to the power of 2 and get 121.
\frac{-19}{57}
Subtract 64 from 121 to get 57.
-\frac{1}{3}
Reduce the fraction \frac{-19}{57} to lowest terms by extracting and canceling out 19.