en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

e^{2 x}

Solution steps

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

Apply exponent rule:

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

e^{- 2 x} e^{4 x} = e^{- 2 x + 4 x}

= e^{- 2 x + 4 x}

Add similar elements:

- 2 x + 4 x = 2 x

= e^{2 x}

Popular Examples

expand \sqrt[a]{4^b\sqrt[a]{4^b}}expand

simplify 8.3*10^{-3}simplify

8.3 \cdot 1 0^{- 3}

simplify (sqrt(x^2+5))^2 simplify

(x^{2} + 5)^{2}

simplify (\sqrt[3]{3a})^4 simplify

simplify sqrt(\sqrt[4]{25)}simplify

Frequently Asked Questions (FAQ)

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