en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{4x}(x^2e^{-4x})

Solution

simplify

e^{4 x} (x^{2} e^{- 4 x})

Solution

x^{2}

Solution steps

e^{4 x} (x^{2} e^{- 4 x})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{4 x} e^{- 4 x} = e^{4 x - 4 x}

= x^{2} e^{4 x - 4 x}

Add similar elements:

4 x - 4 x = 0

= x^{2} e^{0}

Apply rule

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

e^{0} = 1

= 1 \cdot x^{2}

Multiply:

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

= x^{2}

Popular Examples

simplify 8e^{-0.17*8}simplify

8 e^{- 0.17 \cdot 8}

simplify (188^{20})/(115^{20)}simplify

\frac{18 8 ^{20}}{11 5 ^{20}}

simplify 4X^3y^3O simplify

4 X^{3} y^{3} O

simplify 1.13*10^{-3}simplify

1.13 \cdot 1 0^{- 3}

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

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

Frequently Asked Questions (FAQ)

What is e^{4x}(x^2e^{-4x}) ?
The solution to e^{4x}(x^2e^{-4x}) is x^2