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

The solution to 1/(sqrt(2pi))e^{-0.5(1)^2} is 0.24197…

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

simplify

\frac{1}{2 π} e^{- 0.5 (1)^{2}}

0.24197 \dots

Solution steps

\frac{1}{2 π} e^{- 0.5 (1)^{2}}

Apply exponent rule:

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

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

Apply rule

1^{a} = 1

1^{2} = 1

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

\frac{1}{2 π} = \frac{1}{2 π}

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

Multiply the numbers:

0.5 \cdot 1 = 0.5

= \frac{1}{e} \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}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{2 e π}

Convert element to a decimal form

2 = 1.41421 \dots

= \frac{1}{1.41421 \dots e π}

Convert element to a decimal form

π = 1.77245 \dots

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

e = 1.64872 \dots

= \frac{1}{1.41421 \dots \cdot 1.77245 \dots \cdot 1.64872 \dots}

Multiply the numbers:

1.41421 \dots \cdot 1.77245 \dots \cdot 1.64872 \dots = 4.13273 \dots

= \frac{1}{4.13273 \dots}

Divide the numbers:

\frac{1}{4.13273 \dots} = 0.24197 \dots

= 0.24197 \dots

e^{- (\frac{95}{110})^{25}}

(\frac{2}{356})^{2} \cdot e^{- 356 (\frac{2}{356})}

e^{- 4 x} sin (2 x)

What is 1/(sqrt(2pi))e^{-0.5(1)^2} ?
The solution to 1/(sqrt(2pi))e^{-0.5(1)^2} is 0.24197…