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1+\left(\frac{1}{3}\right)^{-2}+\left(-\frac{1}{3}\right)^{-1}
Calculate \frac{1}{3} to the power of 0 and get 1.
1+9+\left(-\frac{1}{3}\right)^{-1}
Calculate \frac{1}{3} to the power of -2 and get 9.
10+\left(-\frac{1}{3}\right)^{-1}
Add 1 and 9 to get 10.
10-3
Calculate -\frac{1}{3} to the power of -1 and get -3.
7
Subtract 3 from 10 to get 7.