What is 1/(sqrt(2pi^2))*e^{-1/2 ((22-20)/2)^2} ?

The solution to 1/(sqrt(2pi^2))*e^{-1/2 ((22-20)/2)^2} is 1/(sqrt(2)pi\sqrt{e)}

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simplify 1/(sqrt(2pi^2))*e^{-1/2 ((22-20)/2)^2}

simplify

\frac{1}{2 π ^{2}} \cdot e^{- \frac{1}{2} (\frac{22 - 20}{2})^{2}}

\frac{1}{2 π e}

Decimal Notation

0.13651 \dots

Solution steps

\frac{1}{2 π ^{2}} e^{- \frac{1}{2} (\frac{22 - 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{22 - 20}{2})^{2}}}

\frac{1}{2 π ^{2}} = \frac{1}{2 π}

= \frac{1}{2 π} \cdot \frac{1}{e ^{\frac{1}{2} (\frac{22 - 20}{2})^{2}}}

e^{\frac{1}{2} (\frac{22 - 20}{2})^{2}} = e

= \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 π e}

e^{- \frac{0.76}{8.02 \cdot 1 0 ^{- 5} \cdot 7.73}}

16.6 \cdot 1 0^{- 3}

0.266 e^{- 4.5}

\frac{1}{2.27} \cdot \frac{1.9 8 ^{2}}{1.1 4 ^{2}}

What is 1/(sqrt(2pi^2))*e^{-1/2 ((22-20)/2)^2} ?
The solution to 1/(sqrt(2pi^2))*e^{-1/2 ((22-20)/2)^2} is 1/(sqrt(2)pi\sqrt{e)}