en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-(sqrt(-1)2pi)/4}

Solution

simplify

e^{- \frac{- 1 2 π}{4}}

Solution

\frac{1}{i}

Solution steps

e^{- \frac{- 1 \cdot 2 π}{4}}

Apply exponent rule:

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

= \frac{1}{e ^{\frac{- 1 \cdot 2 π}{4}}}

e^{\frac{- 1 \cdot 2 π}{4}} = e^{\frac{2 iπ}{4}}

= \frac{1}{e ^{\frac{i 2 π}{4}}}

e^{\frac{i 2 π}{4}} = i

= \frac{1}{i}

Popular Examples

simplify e^{-1/(2.5*10^{-3)}}simplify

e^{- \frac{1}{2.5 \cdot 1 0 ^{- 3}}}

simplify sqrt(x^{2m)}simplify

x^{2 m}

simplify \sqrt[6]{13^5}simplify

simplify e^x*e^{-x}simplify

e^{x} \cdot e^{- x}

simplify (e^{-4t})^2 simplify

(e^{- 4 t})^{2}

Frequently Asked Questions (FAQ)

What is e^{-(sqrt(-1)2pi)/4} ?
The solution to e^{-(sqrt(-1)2pi)/4} is 1/i