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

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

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

simplify

\frac{1}{2 π} e^{- \frac{2 ^{2}}{2}}

\frac{1}{2 ^{\frac{1}{2}} e ^{2} π ^{\frac{1}{2}}}

Decimal Notation

0.05399 \dots

Solution steps

\frac{1}{2 π} e^{- \frac{2 ^{2}}{2}}

Apply exponent rule:

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

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

\frac{1}{2 π} = \frac{1}{2 ^{\frac{1}{2}} π ^{\frac{1}{2}}}

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

\frac{1}{e ^{\frac{2 ^{2}}{2}}} = \frac{1}{e ^{2}}

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 1 = 1

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

(0.018) \cdot (4.68 \cdot 1 0^{- 6})

(\frac{h}{2 π})^{2} \cdot π^{2}

\frac{19}{13}

\frac{200}{1} \cdot 8.854 \cdot 1 0^{- 12}

8.85 4^{- 425.5}

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