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^{6x)}

Solution

simplify

\frac{e ^{2 x}}{e ^{6 x}}

Solution

e^{- 4 x}

Solution steps

\frac{e ^{2 x}}{e ^{6 x}}

Apply exponent rule:

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

= e^{2 x - 6 x}

Add similar elements:

2 x - 6 x = - 4 x

= e^{- 4 x}

Popular Examples

simplify 64.96\times 10^{-6}\times 2pi\times 50 simplify

64.96 \times 1 0^{- 6} \times 2 π \times 50

simplify \sqrt[12]{2^{10}}simplify

12 2^{10}

simplify sqrt(pi)*sqrt(2pi)simplify

π \cdot 2 π

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

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

simplify e^{1/2 x}\times e^{1/2 x}simplify

e^{\frac{1}{2} x} \times e^{\frac{1}{2} x}

Frequently Asked Questions (FAQ)

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