What is 1/(sqrt(2pi^2))*e^{-1/2 ((20-20)/2)^2} ?

The solution to 1/(sqrt(2pi^2))*e^{-1/2 ((20-20)/2)^2} is 1/(sqrt(2)pi)

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simplify 1/(sqrt(2pi^2))*e^{-1/2 ((20-20)/2)^2}

simplify

\frac{1}{2 π ^{2}} \cdot e^{- \frac{1}{2} (\frac{20 - 20}{2})^{2}}

\frac{1}{2 π}

Decimal Notation

0.22507 \dots

Solution steps

\frac{1}{2 π ^{2}} e^{- \frac{1}{2} (\frac{20 - 20}{2})^{2}}

Apply exponent rule:

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

= \frac{1}{2 π ^{2}} \cdot \frac{1}{e ^{\frac{1}{2} (\frac{20 - 20}{2})^{2}}}

\frac{1}{2 π ^{2}} = \frac{1}{2 π}

= \frac{1}{2 π} \cdot \frac{1}{e ^{\frac{1}{2} (\frac{20 - 20}{2})^{2}}}

\frac{1}{e ^{\frac{1}{2} (\frac{20 - 20}{2})^{2}}} = 1

= 1 \cdot \frac{1}{2 π}

Multiply:

\frac{1}{2 π} \cdot 1 = \frac{1}{2 π}

= \frac{1}{2 π}

1.37 \cdot 1 0^{- 12} (\frac{0.45}{8 \cdot 1 0 ^{- 6}})

(7.6 \cdot 1 0^{52}) (2.66 \cdot 1 0^{- 27})

(9.0133288 \cdot 1.66 \cdot 1 0^{- 27}) (3 \cdot 1 0^{8})^{2}

\frac{2}{π \cdot ( 0.5 \cdot 1 0 ^{- 3} ) ^{2}} \cdot 1.6 \cdot 1 0^{- 8}

(e^{x} \cdot (\frac{1}{x ^{2} + 1})) (x e^{x})

What is 1/(sqrt(2pi^2))*e^{-1/2 ((20-20)/2)^2} ?
The solution to 1/(sqrt(2pi^2))*e^{-1/2 ((20-20)/2)^2} is 1/(sqrt(2)pi)