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Popular >

simplify e^{i3pi}

Solution

simplify

e^{i 3 π}

Solution

- 1

Solution steps

e^{i 3 π}

Apply imaginary number rule:

e^{iaπ} = (- 1)^{a}

= (- 1)^{3}

Apply exponent rule:

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

if

n

is odd

(- 1)^{3} = - 1^{3}

= - 1^{3}

Apply rule

1^{a} = 1

= - 1

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Frequently Asked Questions (FAQ)

What is e^{i3pi} ?
The solution to e^{i3pi} is -1