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-1-\left(-3\right)^{-1}
Calculate -1 to the power of -3 and get -1.
-1-\left(-\frac{1}{3}\right)
Calculate -3 to the power of -1 and get -\frac{1}{3}.
-1+\frac{1}{3}
The opposite of -\frac{1}{3} is \frac{1}{3}.
-\frac{2}{3}
Add -1 and \frac{1}{3} to get -\frac{2}{3}.