en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2e^x(e^{-5x})

Solution

simplify

2 e^{x} (e^{- 5 x})

Solution

2 e^{- 4 x}

Solution steps

2 e^{x} (e^{- 5 x})

Apply exponent rule:

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

e^{x} e^{- 5 x} = e^{x - 5 x}

= 2 e^{x - 5 x}

Add similar elements:

x - 5 x = - 4 x

= 2 e^{- 4 x}

Popular Examples

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

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

simplify ln(u)u^{-1}simplify

ln (u) u^{- 1}

simplify (10^{-9.9})/(10^{-10)}0.01 simplify

\frac{1 0 ^{- 9.9}}{1 0 ^{- 10}} 0.01

simplify (5a^2)(8a^3)simplify

(5 a^{2}) (8 a^{3})

simplify e^{-4(2.9)}simplify

e^{- 4 (2.9)}

Frequently Asked Questions (FAQ)

What is 2e^x(e^{-5x}) ?
The solution to 2e^x(e^{-5x}) is 2e^{-4x}