en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (e^{x-1})/(e^x)

Solution

simplify

\frac{e ^{x - 1}}{e ^{x}}

Solution

\frac{1}{e}

+1

Decimal Notation

0.36787 \dots

Solution steps

\frac{e ^{x - 1}}{e ^{x}}

Apply exponent rule:

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

= e^{x - 1 - x}

Simplify

x - 1 - x : - 1

= e^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

= \frac{1}{e}

Popular Examples

simplify (ae^{-at}sin(θ)(t))u(t)simplify

(a e^{- a t} sin (θ) (t)) u (t)

simplify-10*e^{-3*100}simplify

- 10 \cdot e^{- 3 \cdot 100}

simplify e^{-3x}(3x-1)simplify

e^{- 3 x} (3 x - 1)

simplify 32.2*10^{-12}*6.096 simplify

32.2 \cdot 1 0^{- 12} \cdot 6.096

simplify 3.33*10^{-5}simplify

3.33 \cdot 1 0^{- 5}

Frequently Asked Questions (FAQ)

What is (e^{x-1})/(e^x) ?
The solution to (e^{x-1})/(e^x) is 1/e