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Popular >

simplify i^{-55}

Solution

simplify

i^{- 55}

Solution

i

Solution steps

i^{- 55}

Apply exponent rule:

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

i^{- 55} = \frac{1}{i ^{55}}

= \frac{1}{i ^{55}}

Simplify

i^{55} : - 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^{-55} ?
The solution to i^{-55} is i