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-\frac{1}{3}+\left(-1\right)^{-3}
Calculate -3 to the power of -1 and get -\frac{1}{3}.
-\frac{1}{3}-1
Calculate -1 to the power of -3 and get -1.
-\frac{4}{3}
Subtract 1 from -\frac{1}{3} to get -\frac{4}{3}.