Answer:
[tex] - \frac{969}{121} [/tex]
Explanation:
[tex] -8=x+ {11}^{-2 } \\ -8 + ( { - 11}^{ - 2)} = (x + {11 -}^{ - 2} ) + ( { - 11}^{ - 2} \\ - 8 { - 11}^{ - 2} = x + {11}^{ - 2} - { - 11}^{ - 2} \\ { - 11}^{ - 2} - 8 = x \\ \frac{ - 1}{ {11}^{2} } - 8 = x \\ \frac{( - 1) + ( - ( {11}^{2} ))8}{ {11}^{2} } = x \\ \frac{ - 1 - 968}{ {11}^{2} } = x \\ \frac{ - 969}{ {11}^{2} } = x \\ x = - \frac{ 969}{121} [/tex]