en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (e^{(-x^2)/2})^2

Solution

simplify

(e^{\frac{- x ^{2}}{2}})^{2}

Solution

e^{- x^{2}}

Solution steps

(e^{\frac{- x ^{2}}{2}})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= e^{\frac{- x ^{2}}{2} \cdot 2}

Simplify

\frac{- x ^{2}}{2} \cdot 2 : - x^{2}

= e^{- x^{2}}

Popular Examples

simplify (6.67*10^{-11})(5.972*10^{24})simplify

(6.67 \cdot 1 0^{- 11}) (5.972 \cdot 1 0^{24})

simplify (e^{-θ/8})^2 simplify

(e^{- \frac{θ}{8}})^{2}

simplify xe^{-x}*(e^{-x})/x simplify

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

simplify-2e^{-2*0}simplify

- 2 e^{- 2 \cdot 0}

simplify ye^{-2x}(ye^x)^3 simplify

y e^{- 2 x} (y e^{x})^{3}

Frequently Asked Questions (FAQ)

What is (e^{(-x^2)/2})^2 ?
The solution to (e^{(-x^2)/2})^2 is e^{-x^2}