What is 1/(sqrt(2pi))e^{-0.5(0)^2} ?

The solution to 1/(sqrt(2pi))e^{-0.5(0)^2} is 0.39894…

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simplify 1/(sqrt(2pi))e^{-0.5(0)^2}

simplify

\frac{1}{2 π} e^{- 0.5 (0)^{2}}

0.39894 \dots

Solution steps

\frac{1}{2 π} e^{- 0.5 (0)^{2}}

Apply exponent rule:

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

= \frac{1}{2 π} \cdot \frac{1}{e ^{0^{2} \cdot 0.5}}

Apply rule

0^{a} = 0

0^{2} = 0

= \frac{1}{e ^{0 \cdot 0.5}} \cdot \frac{1}{2 π}

\frac{1}{2 π} = \frac{1}{2 π}

= \frac{1}{e ^{0 \cdot 0.5}} \cdot \frac{1}{2 π}

\frac{1}{e ^{0.5 \cdot 0}} = 1

= 1 \cdot \frac{1}{2 π}

Multiply:

\frac{1}{2 π} \cdot 1 = \frac{1}{2 π}

= \frac{1}{2 π}

Convert element to a decimal form

2 = 1.41421 \dots

= \frac{1}{1.41421 \dots π}

Convert element to a decimal form

π = 1.77245 \dots

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

Multiply the numbers:

1.41421 \dots \cdot 1.77245 \dots = 2.50662 \dots

= \frac{1}{2.50662 \dots}

Divide the numbers:

\frac{1}{2.50662 \dots} = 0.39894 \dots

= 0.39894 \dots

(3 + 3) (3 + 3)

1 0^{- 685}

e^{- 2 x} (e^{2 x})

x^{2} (3 x - 5)^{2}

0.272 (8)^{- 0.728} (305434)^{0.48}

What is 1/(sqrt(2pi))e^{-0.5(0)^2} ?
The solution to 1/(sqrt(2pi))e^{-0.5(0)^2} is 0.39894…