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^{6x)}

Solution

simplify

\frac{e ^{3 x}}{e ^{6 x}}

Solution

e^{- 3 x}

Solution steps

\frac{e ^{3 x}}{e ^{6 x}}

Apply exponent rule:

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

= e^{3 x - 6 x}

Add similar elements:

3 x - 6 x = - 3 x

= e^{- 3 x}

Popular Examples

simplify-1.6*10^{-19}simplify

- 1.6 \cdot 1 0^{- 19}

simplify sqrt(3)(sqrt(3-1))simplify

3 (3 - 1)

simplify \sqrt[4]{c^3}simplify

simplify \sqrt[6]{sqrt(10)}simplify

simplify 2e^x(e^x)simplify

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

Frequently Asked Questions (FAQ)

What is (e^{3x})/(e^{6x)} ?
The solution to (e^{3x})/(e^{6x)} is e^{-3x}