What is 1/((sqrt(2pi)))*e^{-(((0.15))/2)^2} ?

The solution to 1/((sqrt(2pi)))*e^{-(((0.15))/2)^2} is 0.39670…

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simplify 1/((sqrt(2pi)))*e^{-(((0.15))/2)^2}

simplify

\frac{1}{( 2 π )} \cdot e^{- (\frac{( 0.15 )}{2})^{2}}

0.39670 \dots

Solution steps

\frac{1}{( 2 π )} e^{- (\frac{( 0.15 )}{2})^{2}}

Apply exponent rule:

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

= \frac{1}{2 π} \cdot \frac{1}{e ^{(\frac{0.15}{2})^{2}}}

\frac{1}{2 π} = \frac{1}{2 π}

= \frac{1}{2 π} \cdot \frac{1}{e ^{(\frac{0.15}{2})^{2}}}

\frac{1}{e ^{(\frac{0.15}{2})^{2}}} = \frac{1}{e ^{\frac{0.1 5 ^{2}}{2 ^{2}}}}

= \frac{1}{2 π} \cdot \frac{1}{e ^{\frac{0.1 5 ^{2}}{2 ^{2}}}}

Multiply fractions:

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

= \frac{1 \cdot 1}{2 π e ^{\frac{0.1 5 ^{2}}{2 ^{2}}}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{2 e ^{\frac{0.1 5 ^{2}}{2 ^{2}}} π}

\frac{0.1 5 ^{2}}{2 ^{2}} = \frac{0.0225}{4}

= \frac{1}{2 e ^{\frac{0.0225}{4}} π}

Convert element to a decimal form

2 = 1.41421 \dots

= \frac{1}{1.41421 \dots e ^{\frac{0.0225}{4}} π}

Convert element to a decimal form

π = 1.77245 \dots

= \frac{1}{1.41421 \dots \cdot 1.77245 \dots e ^{\frac{0.0225}{4}}}

e^{\frac{0.0225}{4}} = 1.00564 \dots

= \frac{1}{1.41421 \dots \cdot 1.77245 \dots \cdot 1.00564 \dots}

Multiply the numbers:

1.41421 \dots \cdot 1.77245 \dots \cdot 1.00564 \dots = 2.52076 \dots

= \frac{1}{2.52076 \dots}

Divide the numbers:

\frac{1}{2.52076 \dots} = 0.39670 \dots

= 0.39670 \dots

e^{- 0.5256}

e^{(- 2 ∣ t ∣)} sin (3 t)

\frac{7 ^{\frac{1}{3}}}{4 ^{\frac{1}{3}}}

80 e^{- 0.1732800000000 \dots}

\frac{x ^{2}}{( 9 - x ) ^{2}}

What is 1/((sqrt(2pi)))*e^{-(((0.15))/2)^2} ?
The solution to 1/((sqrt(2pi)))*e^{-(((0.15))/2)^2} is 0.39670…