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

\frac{e ^{2 x}}{e ^{- 4 x}}

Solution

e^{6 x}

Solution steps

\frac{e ^{2 x}}{e ^{- 4 x}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

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

Apply rule

- (- a) = a

= e^{2 x + 4 x}

Add similar elements:

2 x + 4 x = 6 x

= e^{6 x}

Popular Examples

simplify e^{-t^2}e^t simplify

e^{- t^{2}} e^{t}

simplify 100e^{-0.93}simplify

100 e^{- 0.93}

simplify sqrt(n)*sqrt(1+n)simplify

n \cdot 1 + n

simplify (2.2x^{105})(4.5x^{1011})simplify

(2.2 x^{105}) (4.5 x^{1011})

simplify sqrt(x+8)*sqrt(x)simplify

x + 8 \cdot x

Frequently Asked Questions (FAQ)

What is (e^{2x})/(e^{-4x)} ?
The solution to (e^{2x})/(e^{-4x)} is e^{6x}