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}*e^{x^2}

Solution

simplify

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

Solution

1

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

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

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

Add similar elements:

- x^{2} + x^{2} = 0

= e^{0}

Apply rule

a^{0} = 1, a \neq = 0

= 1

Popular Examples

factor 5x^2+29x+20 factor

5 x^{2} + 29 x + 20

3(x+1)(x-1)+7x=5-3x

3 (x + 1) (x - 1) + 7 x = 5 - 3 x

simplify xe^{-x^2}simplify

x e^{- x^{2}}

simplify (x^{2/5})^n simplify

(x^{\frac{2}{5}})^{n}

simplify 9*1/2 simplify

9 \cdot \frac{1}{2}

Frequently Asked Questions (FAQ)

What is e^{-x^2}*e^{x^2} ?
The solution to e^{-x^2}*e^{x^2} is 1