What is 1/(sqrt(2pi))e^{-(0.3^2)/2} ?

The solution to 1/(sqrt(2pi))e^{-(0.3^2)/2} is 0.38138…

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^{-(0.3^2)/2}

simplify

\frac{1}{2 π} e^{- \frac{0. 3 ^{2}}{2}}

0.38138 \dots

Solution steps

\frac{1}{2 π} e^{- \frac{0. 3 ^{2}}{2}}

Apply exponent rule:

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

= \frac{1}{2 π} \cdot \frac{1}{e ^{\frac{0. 3 ^{2}}{2}}}

\frac{1}{2 π} = \frac{1}{2 ^{\frac{1}{2}} π ^{\frac{1}{2}}}

= \frac{1}{e ^{\frac{0. 3 ^{2}}{2}}} \cdot \frac{1}{2 ^{\frac{1}{2}} π ^{\frac{1}{2}}}

Multiply fractions:

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

= \frac{1 \cdot 1}{2 ^{\frac{1}{2}} π ^{\frac{1}{2}} e ^{\frac{0. 3 ^{2}}{2}}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{2 ^{\frac{1}{2}} e ^{\frac{0. 3 ^{2}}{2}} π ^{\frac{1}{2}}}

0. 3^{2} = 0.09

= \frac{1}{2 ^{\frac{1}{2}} e ^{\frac{0.09}{2}} π ^{\frac{1}{2}}}

Convert element to a decimal form

2^{\frac{1}{2}} = 1.41421 \dots

= \frac{1}{1.41421 \dots e ^{\frac{0.09}{2}} π ^{\frac{1}{2}}}

Convert element to a decimal form

π^{\frac{1}{2}} = 1.77245 \dots

= \frac{1}{1.41421 \dots \cdot 1.77245 \dots e ^{\frac{0.09}{2}}}

e^{\frac{0.09}{2}} = 1.04602 \dots

= \frac{1}{1.41421 \dots \cdot 1.77245 \dots \cdot 1.04602 \dots}

Multiply the numbers:

1.41421 \dots \cdot 1.77245 \dots \cdot 1.04602 \dots = 2.62200 \dots

= \frac{1}{2.62200 \dots}

Divide the numbers:

\frac{1}{2.62200 \dots} = 0.38138 \dots

= 0.38138 \dots

(\frac{3 ^{n + 1}}{2 ^{n}} + \frac{2 ^{n + 1}}{3 ^{n}} - 5)^{- 1}

- lo g_{10} (1.8) 1 0^{- 4}

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

3 x (3 x)

What is 1/(sqrt(2pi))e^{-(0.3^2)/2} ?
The solution to 1/(sqrt(2pi))e^{-(0.3^2)/2} is 0.38138…