What is 1/(sqrt(2pi))e^{-0.5(2)^2} ?

The solution to 1/(sqrt(2pi))e^{-0.5(2)^2} is 0.05399…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/(sqrt(2pi))e^{-0.5(2)^2}

simplify

\frac{1}{2 π} e^{- 0.5 (2)^{2}}

0.05399 \dots

Solution steps

\frac{1}{2 π} e^{- 0.5 (2)^{2}}

Apply exponent rule:

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

= \frac{1}{2 π} \cdot \frac{1}{e ^{2^{2} \cdot 0.5}}

\frac{1}{2 π} = \frac{1}{2 π}

= \frac{1}{e ^{2^{2} \cdot 0.5}} \cdot \frac{1}{2 π}

Multiply fractions:

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

= \frac{1 \cdot 1}{2 π e ^{0.5 \cdot 2^{2}}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{2 π e ^{2^{2} \cdot 0.5}}

e^{0.5 \cdot 2^{2}} = e^{2}

= \frac{1}{2 e ^{2} π}

Convert element to a decimal form

2 = 1.41421 \dots

= \frac{1}{1.41421 \dots e ^{2} π}

Convert element to a decimal form

π = 1.77245 \dots

= \frac{1}{1.41421 \dots \cdot 1.77245 \dots e ^{2}}

Convert element to a decimal form

e^{2} = 7.38905 \dots

= \frac{1}{1.41421 \dots \cdot 1.77245 \dots \cdot 7.38905 \dots}

Multiply the numbers:

1.41421 \dots \cdot 1.77245 \dots \cdot 7.38905 \dots = 18.52161 \dots

= \frac{1}{18.52161 \dots}

Divide the numbers:

\frac{1}{18.52161 \dots} = 0.05399 \dots

= 0.05399 \dots

7 \cdot 1 0^{- 3} \cdot \frac{0.5715}{1 0 ^{- 6}}

1.9762 \cdot (0.0625)^{- 1.01}

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

3 (2)^{3}

e^{4 t} \cdot e^{- s t}

What is 1/(sqrt(2pi))e^{-0.5(2)^2} ?
The solution to 1/(sqrt(2pi))e^{-0.5(2)^2} is 0.05399…