en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{2ipi}

Solution

simplify

e^{2 iπ}

Solution

1

Solution steps

e^{2 iπ}

Apply imaginary number rule:

e^{iaπ} = (- 1)^{a}

= (- 1)^{2}

Apply exponent rule:

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

if

n

is even

(- 1)^{2} = 1^{2}

= 1^{2}

Apply rule

1^{a} = 1

= 1

Popular Examples

3 (- 2 x - 7) > 9

6 x - \frac{2}{3} x^{2} = 3

simplify (\sqrt[5]{486})/(\sqrt[5]{2)}simplify

x^{2} - 3 x - 18 \leq 0

simplify (e^2)^3 simplify

(e^{2})^{3}

Frequently Asked Questions (FAQ)

What is e^{2ipi} ?
The solution to e^{2ipi} is 1