Simplify ( square root of -1)^3

${(\sqrt{- 1})}^{3}$

Rewrite $\sqrt{- 1}$ as $i$ .

$i^{3}$

Factor out $i^{2}$ .

$i^{2} \cdot i$

Rewrite $i^{2}$ as $- 1$ .

$- 1 \cdot i$

Rewrite $- 1 i$ as $- i$ .

$- i$

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