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^{-x})

Solution

simplify

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

Solution

e^{2 x}

Solution steps

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

Apply exponent rule:

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

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

= e^{3 x - x}

Add similar elements:

3 x - x = 2 x

= e^{2 x}

Popular Examples

simplify e^{-2y}*4y simplify

e^{- 2 y} \cdot 4 y

simplify 4e^{-0.65*8}simplify

4 e^{- 0.65 \cdot 8}

simplify 2500(1+0.07)^{-7}simplify

2500 (1 + 0.07)^{- 7}

simplify e^{-4.67}simplify

e^{- 4.67}

simplify 50e^{-0.05268*2}simplify

50 e^{- 0.05268 \cdot 2}

Frequently Asked Questions (FAQ)

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