en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-n}(1+1/n)

Solution

simplify

e^{- n} (1 + \frac{1}{n})

Solution

\frac{n + 1}{n e ^{n}}

Solution steps

e^{- n} (1 + \frac{1}{n})

Apply exponent rule:

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

= \frac{1}{e ^{n}} (\frac{1}{n} + 1)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot ( 1 + \frac{1}{n} )}{e ^{n}}

1 \cdot (1 + \frac{1}{n}) = 1 + \frac{1}{n}

= \frac{1 + \frac{1}{n}}{e ^{n}}

Join

1 + \frac{1}{n} : \frac{n + 1}{n}

= \frac{\frac{n + 1}{n}}{e ^{n}}

Apply the fraction rule:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

= \frac{n + 1}{n e ^{n}}

Popular Examples

simplify sqrt(x)^{3/2}simplify

x^{\frac{3}{2}}

simplify (3x^4)(5x^3)simplify

(3 x^{4}) (5 x^{3})

simplify-(\sqrt[6]{64})^5 simplify

simplify (5a^2b^2)(2ab^2c^2)simplify

(5 a^{2} b^{2}) (2 a b^{2} c^{2})

simplify 0.00031*60^{-0.575}*190^{0.725}simplify

0.00031 \cdot 6 0^{- 0.575} \cdot 19 0^{0.725}

Frequently Asked Questions (FAQ)

What is e^{-n}(1+1/n) ?
The solution to e^{-n}(1+1/n) is (n+1)/(ne^n)