en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify x*e^{-3x}

Solution

simplify

x \cdot e^{- 3 x}

Solution

\frac{x}{e ^{3 x}}

Solution steps

x e^{- 3 x}

Apply exponent rule:

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

= \frac{1}{e ^{3 x}} x

Multiply fractions:

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

= \frac{1 \cdot x}{e ^{3 x}}

Multiply:

1 \cdot x = x

= \frac{x}{e ^{3 x}}

Popular Examples

simplify sqrt(3x+2)*sqrt(x-1)simplify

3 x + 2 \cdot x - 1

simplify pi/5 x^{-4/5}simplify

\frac{π}{5} x^{- \frac{4}{5}}

simplify (sqrt(x\sqrt{x)})^{sqrt(x)}simplify

(x x)^{x}

simplify 0.22*10^{-1}simplify

0.22 \cdot 1 0^{- 1}

simplify (e^{ln(x)})^{(e^5)}simplify

(e^{l n (x)})^{(e^{5})}

Frequently Asked Questions (FAQ)

What is x*e^{-3x} ?
The solution to x*e^{-3x} is x/(e^{3x)}