en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (e^{-3})/(e^{-2)}

Solution

simplify

\frac{e ^{- 3}}{e ^{- 2}}

Solution

\frac{1}{e}

+1

Decimal Notation

0.36787 \dots

Solution steps

\frac{e ^{- 3}}{e ^{- 2}}

Apply exponent rule:

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

= e^{- 3 - (- 2)}

Apply rule

- (- a) = a

= e^{- 3 + 2}

Add/Subtract the numbers:

- 3 + 2 = - 1

= e^{- 1}

Apply exponent rule:

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

= \frac{1}{e}

Popular Examples

simplify (0.5)^{13}(0.5)(14)simplify

(0.5)^{13} (0.5) (14)

simplify e^{-2x}(-sin(5x)(5))simplify

e^{- 2 x} (- sin (5 x) (5))

simplify 0.2201326*10^{-27}simplify

0.2201326 \cdot 1 0^{- 27}

simplify (0.1(-10)^{-2,9})simplify

(0.1 (- 10)^{- 2, 9})

simplify (sqrt(5y))/(sqrt(2))simplify

\frac{5 y}{2}

Frequently Asked Questions (FAQ)

What is (e^{-3})/(e^{-2)} ?
The solution to (e^{-3})/(e^{-2)} is 1/e