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

The solution to e^{-(x^2)/2}(e^{(x^2)/2}) is 1

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

simplify

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

1

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot e ^{\frac{x ^{2}}{2}}}{e ^{\frac{x ^{2}}{2}}}

Cancel the common factor:

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

= 1

e^{- b z} \cdot e^{- (x - z)^{2} \frac{1}{4 a}}

e^{- x} (c x e^{2 x} + 2 c e^{2 x} + d)

0.9 3^{- 2}

4 \cdot 3.14 \cdot 10 \cdot 1 0^{- 7} \cdot 3500 \cdot 0.75

What is e^{-(x^2)/2}(e^{(x^2)/2}) ?
The solution to e^{-(x^2)/2}(e^{(x^2)/2}) is 1