en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (e^{-5}*5^0)/(0!)

Solution

simplify

\frac{e ^{- 5} \cdot 5 ^{0}}{0 !}

Solution

\frac{1}{e ^{5}}

+1

Decimal Notation

0.00673 \dots

Solution steps

\frac{e ^{- 5} \cdot 5 ^{0}}{0 !}

Apply rule

a^{0} = 1, a \neq = 0

5^{0} = 1

= \frac{1 \cdot e ^{- 5}}{0 !}

Multiply:

e^{- 5} \cdot 1 = e^{- 5}

= \frac{e ^{- 5}}{0 !}

Apply factorial rule:

0! = 1

= \frac{e ^{- 5}}{1}

Apply rule

\frac{a}{1} = a

= e^{- 5}

Apply exponent rule:

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

= \frac{1}{e ^{5}}

Popular Examples

\frac{3}{5} \div \frac{2}{7}

simplify (x^2-1)/(x^2+x-2)simplify

\frac{x ^{2} - 1}{x ^{2} + x - 2}

expand (-2x-6)^2 expand

(- 2 x - 6)^{2}

simplify ((-1-3*5)(-1)^7)^{1/4}simplify

((- 1 - 3 \cdot 5) (- 1)^{7})^{\frac{1}{4}}

simplify e^{2*ln(x)}simplify

e^{2 \cdot l n (x)}

Frequently Asked Questions (FAQ)

What is (e^{-5}*5^0)/(0!) ?
The solution to (e^{-5}*5^0)/(0!) is 1/(e^5)