en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{3x}e^{-5x}

Solution

simplify

e^{3 x} e^{- 5 x}

Solution

e^{- 2 x}

Solution steps

e^{3 x} e^{- 5 x}

Apply exponent rule:

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

e^{3 x} e^{- 5 x} = e^{3 x - 5 x}

= e^{3 x - 5 x}

Add similar elements:

3 x - 5 x = - 2 x

= e^{- 2 x}

Popular Examples

simplify \sqrt[5]{\sqrt[3]{2^9}}simplify

simplify e^{tx}*e^{-t/3}simplify

e^{t x} \cdot e^{- \frac{t}{3}}

simplify e^{-2/e}simplify

e^{- \frac{2}{e}}

simplify (\sqrt[8]{a})^2 simplify

simplify \sqrt[5]{\sqrt[4]{3sqrt(2)}}simplify

Frequently Asked Questions (FAQ)

What is e^{3x}e^{-5x} ?
The solution to e^{3x}e^{-5x} is e^{-2x}