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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 simplify-i^{-1} ?
The solution to simplify-i^{-1} is i