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

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

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

simplify

\frac{1}{2 π} e^{- \frac{1}{2} x^{2}}

\frac{1}{2 π e ^{\frac{x ^{2}}{2}}}

Solution steps

\frac{1}{2 π} e^{- \frac{1}{2} x^{2}}

Apply exponent rule:

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

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

\frac{1}{2 π} = \frac{1}{2 π}

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

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

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

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{2 π e ^{\frac{x ^{2}}{2}}}

f (x) = arcsin (x)

(6 y^{2} + y - 2) (2 y - 1)^{- 1}

e^{- (0)^{2}}

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