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\left(3\left(1+2\right)\right)^{-1}
Divide 6 by 2 to get 3.
\left(3\times 3\right)^{-1}
Add 1 and 2 to get 3.
9^{-1}
Multiply 3 and 3 to get 9.
\frac{1}{9}
Calculate 9 to the power of -1 and get \frac{1}{9}.