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^{-2x)}

Solution

simplify

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

Solution

e^{x}

Solution steps

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

Apply exponent rule:

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

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

Apply rule

- (- a) = a

= e^{- x + 2 x}

Add similar elements:

- x + 2 x = x

= e^{x}

Popular Examples

simplify 6^{4/3}simplify

6^{\frac{4}{3}}

simplify (2-i)/(3-i)-1/5 [(1+8i)/(1+3i)]simplify

\frac{2 - i}{3 - i} - \frac{1}{5} [\frac{1 + 8 i}{1 + 3 i}]

- 16 t^{2} + 32 t + 4 = 0

23 x + 11 = 14 x + 21

6x^2+24x-1710=0

6 x^{2} + 24 x - 1710 = 0

Frequently Asked Questions (FAQ)

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