en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^3)(e^{-3x})

Solution

simplify

(x^{3}) (e^{- 3 x})

Solution

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

Solution steps

(x^{3}) (e^{- 3 x})

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

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

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

Popular Examples

simplify (sqrt(x/(0.5)m))/(sqrt(2 x/m))simplify

\frac{\frac{x}{0.5} m}{2 \frac{x}{m}}

simplify (9.1*10^{-31})*(4.8*10^6)simplify

(9.1 \cdot 1 0^{- 31}) \cdot (4.8 \cdot 1 0^{6})

simplify e^{-0.1*0.25}simplify

e^{- 0.1 \cdot 0.25}

simplify sqrt(6+3\sqrt{3)}*sqrt(6-3\sqrt{3)}simplify

6 + 33 \cdot 6 - 33

simplify sqrt(3^{x+1)}simplify

3^{x + 1}

Frequently Asked Questions (FAQ)

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