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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

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

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

Multiply the numbers:

1 \cdot 1 = 1

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

e^{- (0.6)^{2}}

(1.3 \cdot 1 0^{- 15}) \cdot 1024

(3.2 \cdot 1 0^{9}) (4 \cdot 1 0^{13})

e^{4 x} e^{- 4 x}

(y + 2)^{2} \cdot (y - 2)^{2}

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