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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

e^{- 2 x^{2}}

Solution steps

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

Apply exponent rule:

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

= e^{- x^{2} - x^{2}}

Add similar elements:

- x^{2} - x^{2} = - 2 x^{2}

= e^{- 2 x^{2}}

(6 x^{3}) (2 x^{4})

81 x^{8}

\frac{1}{2} e^{- \frac{x}{2}}

\frac{4}{3} π (10)^{3}

8 e^{- 0}

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