What is 1/(sqrt(2pi))e^{-1/18} ?

The solution to 1/(sqrt(2pi))e^{-1/18} is 1/(2^{1/2)e^{1/18}pi^{1/2}}

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simplify 1/(sqrt(2pi))e^{-1/18}

simplify

\frac{1}{2 π} e^{- \frac{1}{18}}

\frac{1}{2 ^{\frac{1}{2}} e ^{\frac{1}{18}} π ^{\frac{1}{2}}}

Decimal Notation

0.37738 \dots

Solution steps

\frac{1}{2 π} e^{- \frac{1}{18}}

Apply exponent rule:

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

= \frac{1}{2 π} \cdot \frac{1}{e ^{\frac{1}{18}}}

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

= \frac{1}{e ^{\frac{1}{18}}} \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}{18}}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{2 ^{\frac{1}{2}} e ^{\frac{1}{18}} π ^{\frac{1}{2}}}

\frac{7 !}{1 ! ( 7 - 1 ) !} (0.25) (0.75)^{6} (0.25)

1.5 \cdot 1 0^{- 5} \cdot 0.02

x^{2} y^{2} (x^{8} + y^{8})

5.788 \cdot e^{- 3}

What is 1/(sqrt(2pi))e^{-1/18} ?
The solution to 1/(sqrt(2pi))e^{-1/18} is 1/(2^{1/2)e^{1/18}pi^{1/2}}