en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

- e^{- x}

Solution steps

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

Apply exponent rule:

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

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

= - e^{x - 2 x}

Add similar elements:

x - 2 x = - x

= - e^{- x}

Popular Examples

simplify e^{-0.1*11}simplify

e^{- 0.1 \cdot 11}

simplify e^{1^{-1}}*e^{2y}simplify

e^{1^{- 1}} \cdot e^{2 y}

simplify 2m^3np^3(3m+2n-7p)simplify

2 m^{3} n p^{3} (3 m + 2 n - 7 p)

simplify (\sqrt[4]{x^2-5x})^2 simplify

simplify \sqrt[6]{\sqrt[4]{10}}simplify

Frequently Asked Questions (FAQ)

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