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

if

n

is even

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

= 1^{4}

Apply rule

1^{a} = 1

= 1

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Frequently Asked Questions (FAQ)

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