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Popular >

simplify (1+i)^{-8}

Solution

simplify

(1 + i)^{- 8}

Solution

\frac{1}{16}

+1

Decimal Notation

0.0625

Solution steps

(1 + i)^{- 8}

Apply exponent rule:

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

(1 + i)^{- 8} = \frac{1}{( 1 + i ) ^{8}}

= \frac{1}{( 1 + i ) ^{8}}

Expand

(1 + i)^{8} : 16

= \frac{1}{16}

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Frequently Asked Questions (FAQ)

What is (1+i)^{-8} ?
The solution to (1+i)^{-8} is 1/16