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Popular >

simplify e^{-i4pi}

Solution

simplify

e^{- i 4 π}

Solution

1

Solution steps

e^{- i 4 π}

Apply imaginary number rule:

e^{iaπ} = (- 1)^{a}

= (- 1)^{- 4}

Apply exponent rule:

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

= \frac{1}{( - 1 ) ^{4}}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- 1)^{4} = 1^{4}

= \frac{1}{1 ^{4}}

Simplify

= 1

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Frequently Asked Questions (FAQ)

What is e^{-i4pi} ?
The solution to e^{-i4pi} is 1