What is 2xe^{x^2}*e^{-x^2} ?

The solution to 2xe^{x^2}*e^{-x^2} is 2x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2xe^{x^2}*e^{-x^2}

simplify

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

2 x

Solution steps

2 x 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}}

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

Add similar elements:

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

= 2 x e^{0}

Apply rule

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

e^{0} = 1

= 2 \cdot 1 \cdot x

Multiply the numbers:

2 \cdot 1 = 2

= 2 x

0.67 x 1 0^{- 1}

(10) e^{- \frac{14}{6}}

0.551 \cdot 1.13 \cdot 1 0^{- 3}

\frac{( - 5 T + 10 x ) ^{2}}{T ^{2}}