en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2e^{2x}*e^{-x}

Solution

simplify

2 e^{2 x} \cdot e^{- x}

Solution

2 e^{x}

Solution steps

2 e^{2 x} e^{- x}

Apply exponent rule:

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

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

= 2 e^{2 x - x}

Add similar elements:

2 x - x = x

= 2 e^{x}

Popular Examples

simplify log_{10}(10)x^{-2}y simplify

lo g_{10} (10) x^{- 2} y

simplify (3x^2)(4x^2)simplify

(3 x^{2}) (4 x^{2})

simplify 3^x2^x simplify

3^{x} 2^{x}

simplify (sqrt(8.05))/(sqrt(10))*1.833 simplify

\frac{8.05}{10} \cdot 1.833

simplify 9^{2/5}*27^{2/5}simplify

9^{\frac{2}{5}} \cdot 2 7^{\frac{2}{5}}

Frequently Asked Questions (FAQ)

What is 2e^{2x}*e^{-x} ?
The solution to 2e^{2x}*e^{-x} is 2e^x