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

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

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

simplify

\frac{1}{2 π} e^{- \frac{1 ^{2}}{2}}

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

Decimal Notation

0.24197 \dots

Solution steps

\frac{1}{2 π} e^{- \frac{1 ^{2}}{2}}

Apply exponent rule:

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

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

Apply rule

1^{a} = 1

1^{2} = 1

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

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

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

Multiply the numbers:

1 \cdot 1 = 1

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

0 \cdot e^{- 2 \cdot 0}

4 x^{3} y (5 x^{2} y^{5})

(5 a^{2} x y^{2}) (- 3 x^{3} + 5 x^{2} y - 7 x y^{2} - 4 y^{3})

\frac{10}{3} e^{- s t}

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