What is 1/(2sqrt(2pi))e^{-1/2 ((27-29.4)/2)^2} ?

The solution to 1/(2sqrt(2pi))e^{-1/2 ((27-29.4)/2)^2} is 0.09709…

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simplify 1/(2sqrt(2pi))e^{-1/2 ((27-29.4)/2)^2}

simplify

\frac{1}{2 2 π} e^{- \frac{1}{2} (\frac{27 - 29.4}{2})^{2}}

0.09709 \dots

Solution steps

\frac{1}{2 2 π} e^{- \frac{1}{2} (\frac{27 - 29.4}{2})^{2}}

Apply exponent rule:

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

= \frac{1}{2 2 π} \cdot \frac{1}{e ^{\frac{1}{2} (\frac{27 - 29.4}{2})^{2}}}

\frac{1}{2 2 π} = \frac{1}{2 2 π}

= \frac{1}{2 2 π} \cdot \frac{1}{e ^{\frac{1}{2} (\frac{27 - 29.4}{2})^{2}}}

\frac{1}{e ^{\frac{1}{2} (\frac{27 - 29.4}{2})^{2}}} = \frac{1}{e ^{0.72}}

= \frac{1}{e ^{0.72}} \cdot \frac{1}{2 2 π}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot 1}{2 2 π e ^{0.72}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{2 2 e ^{0.72} π}

Convert element to a decimal form

2 = 1.41421 \dots

= \frac{1}{2 \cdot 1.41421 \dots e ^{0.72} π}

Convert element to a decimal form

π = 1.77245 \dots

= \frac{1}{2 \cdot 1.41421 \dots \cdot 1.77245 \dots e ^{0.72}}

e^{0.72} = 2.05443 \dots

= \frac{1}{2 \cdot 1.41421 \dots \cdot 1.77245 \dots \cdot 2.05443 \dots}

Multiply the numbers:

2 \cdot 1.41421 \dots \cdot 1.77245 \dots \cdot 2.05443 \dots = 10.29940 \dots

= \frac{1}{10.29940 \dots}

Divide the numbers:

\frac{1}{10.29940 \dots} = 0.09709 \dots

= 0.09709 \dots

1 e^{- 0.1 \cdot \frac{1}{12}}

[(2^{3})^{4}]^{2}

e^{- 274.67}

e^{2} \cdot x^{2}

What is 1/(2sqrt(2pi))e^{-1/2 ((27-29.4)/2)^2} ?
The solution to 1/(2sqrt(2pi))e^{-1/2 ((27-29.4)/2)^2} is 0.09709…