Answer
-1
Work Step by Step
By the definition of $i$ shown on Page 485, we know that $\sqrt -1=i$ because $i^{2}=-1$.
Therefore, $(-i)^{2}=(-i\times-i)=(i\times i\times-1\times-1)=(i^{2}\times-1\times-1)=(-1\times-1\times-1)=-1$.
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