en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify x*(6e^{-x^2})

Solution

simplify

x \cdot (6 e^{- x^{2}})

Solution

\frac{6 x}{e ^{x^{2}}}

Solution steps

x (6 e^{- x^{2}})

Apply exponent rule:

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

= 6 \cdot \frac{1}{e ^{x^{2}}} x

Multiply fractions:

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

= \frac{1 \cdot x \cdot 6}{e ^{x^{2}}}

Multiply the numbers:

1 \cdot 6 = 6

= \frac{6 x}{e ^{x^{2}}}

Popular Examples

simplify 9.11e^{-31}simplify

9.11 e^{- 31}

simplify-28.56x10^{-2}simplify

- 28.56 x 1 0^{- 2}

simplify (5^x)/(6^x)simplify

\frac{5 ^{x}}{6 ^{x}}

simplify 12*e^{-0.173*12}simplify

12 \cdot e^{- 0.173 \cdot 12}

simplify 6(4/3 pi(sqrt(21))^3)simplify

6 (\frac{4}{3} π (21)^{3})

Frequently Asked Questions (FAQ)

What is x*(6e^{-x^2}) ?
The solution to x*(6e^{-x^2}) is (6x)/(e^{x^2)}