en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-2x}(8e^x)

Solution

simplify

e^{- 2 x} (8 e^{x})

Solution

8 e^{- x}

Solution steps

e^{- 2 x} (8 e^{x})

Apply exponent rule:

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

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

= 8 e^{- 2 x + x}

Add similar elements:

- 2 x + x = - x

= 8 e^{- x}

Popular Examples

simplify (10s^7tu^9)(10s^8tu)simplify

(10 s^{7} t u^{9}) (10 s^{8} t u)

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

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

simplify sqrt(h^{2+r^2)}simplify

h^{2 + r^{2}}

simplify (e^2)^{1/2}simplify

(e^{2})^{\frac{1}{2}}

simplify (5x^3y^2)(2x^5y)simplify

(5 x^{3} y^{2}) (2 x^{5} y)

Frequently Asked Questions (FAQ)

What is e^{-2x}(8e^x) ?
The solution to e^{-2x}(8e^x) is 8e^{-x}