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

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

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

simplify

\frac{1}{2 π} \cdot e^{- \frac{1}{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}}

Apply exponent rule:

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

= \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}}}

6.022 x 1 0^{23} (1.8 x 1 0^{- 3})

(e^{- \frac{3}{5} t})^{2}

22 \cdot (1.66 \cdot 1 0^{- 27})

0.01787 \cdot 25 \cdot 1 0^{- 3}

x^{2} π \cdot 0.5 x

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