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Popular >

simplify (sqrt(-1))^{-1}

Solution

simplify

(- 1)^{- 1}

Solution

- i

Solution steps

(- 1)^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

(- 1)^{- 1} = \frac{1}{- 1}

= \frac{1}{- 1}

- 1 = i

= \frac{1}{i}

Rationalize

\frac{1}{i} : - i

= - i

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Frequently Asked Questions (FAQ)

What is (sqrt(-1))^{-1} ?
The solution to (sqrt(-1))^{-1} is -i