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Popular >

simplify (-i)^{-1}

Solution

simplify

(- i)^{- 1}

Solution

i

Solution steps

(- i)^{- 1}

Apply exponent rule:

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

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

= \frac{1}{- i}

Multiply by the conjugate

\frac{- i}{- i}

= \frac{1 \cdot ( - i )}{- i ( - i )}

Simplify

\frac{1 \cdot ( - i )}{- i ( - i )} : \frac{- i}{- 1}

= \frac{- i}{- 1}

Simplify

\frac{- i}{- 1} : i

= i

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Frequently Asked Questions (FAQ)

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