What is 1/(sqrt(2pi))e^{-0.5(-3)^2} ?

The solution to 1/(sqrt(2pi))e^{-0.5(-3)^2} is 0.00443…

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simplify 1/(sqrt(2pi))e^{-0.5(-3)^2}

simplify

\frac{1}{2 π} e^{- 0.5 (- 3)^{2}}

0.00443 \dots

Solution steps

\frac{1}{2 π} e^{- 0.5 (- 3)^{2}}

Apply exponent rule:

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

= \frac{1}{2 π} \cdot \frac{1}{e ^{(- 3)^{2} \cdot 0.5}}

\frac{1}{2 π} = \frac{1}{2 π}

= \frac{1}{e ^{(- 3)^{2} \cdot 0.5}} \cdot \frac{1}{2 π}

\frac{1}{e ^{0.5 (- 3)^{2}}} = \frac{1}{e ^{3^{2} \cdot 0.5}}

= \frac{1}{e ^{3^{2} \cdot 0.5}} \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 ^{0.5 \cdot 3^{2}}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{2 π e ^{3^{2} \cdot 0.5}}

e^{0.5 \cdot 3^{2}} = e^{4.5}

= \frac{1}{2 e ^{4.5} π}

Convert element to a decimal form

2 = 1.41421 \dots

= \frac{1}{1.41421 \dots e ^{4.5} π}

Convert element to a decimal form

π = 1.77245 \dots

= \frac{1}{1.41421 \dots \cdot 1.77245 \dots e ^{4.5}}

e^{4.5} = 90.01713 \dots

= \frac{1}{1.41421 \dots \cdot 1.77245 \dots \cdot 90.01713 \dots}

Multiply the numbers:

1.41421 \dots \cdot 1.77245 \dots \cdot 90.01713 \dots = 225.63948 \dots

= \frac{1}{225.63948 \dots}

Divide the numbers:

\frac{1}{225.63948 \dots} = 0.00443 \dots

= 0.00443 \dots

\frac{10}{11}

e^{- x} \cdot (- 1)

(7 - 3) (7 - 3)

e^{- t} sinh (5 t)

2 x (7 x^{3} y)

What is 1/(sqrt(2pi))e^{-0.5(-3)^2} ?
The solution to 1/(sqrt(2pi))e^{-0.5(-3)^2} is 0.00443…