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\frac{1}{2}\left(-3\right)^{-1}\left(-1\right)^{-1}
Calculate 2 to the power of -1 and get \frac{1}{2}.
\frac{1}{2}\left(-\frac{1}{3}\right)\left(-1\right)^{-1}
Calculate -3 to the power of -1 and get -\frac{1}{3}.
-\frac{1}{6}\left(-1\right)^{-1}
Multiply \frac{1}{2} and -\frac{1}{3} to get -\frac{1}{6}.
-\frac{1}{6}\left(-1\right)
Calculate -1 to the power of -1 and get -1.
\frac{1}{6}
Multiply -\frac{1}{6} and -1 to get \frac{1}{6}.