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^{3x}

Solution

simplify

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

Solution

e^{2 x}

Solution steps

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

Apply exponent rule:

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

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

= e^{- x + 3 x}

Add similar elements:

- x + 3 x = 2 x

= e^{2 x}

Popular Examples

simplify (5sqrt(3))(2sqrt(3))simplify

(53) (23)

simplify (x^2)/((x+2)^2)simplify

\frac{x ^{2}}{( x + 2 ) ^{2}}

simplify 100000e^{-0.2*10}simplify

100000 e^{- 0.2 \cdot 10}

simplify x^{-1/2}dx simplify

x^{- \frac{1}{2}} d x

simplify \sqrt[12]{64^4}simplify

Frequently Asked Questions (FAQ)

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