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-1^{\frac{0\left(-1\right)}{2}}
Subtract 1 from 0 to get -1.
-1^{\frac{0}{2}}
Multiply 0 and -1 to get 0.
-1^{0}
Zero divided by any non-zero number gives zero.
-1
Calculate 1 to the power of 0 and get 1.