What is 1/(sqrt(2(pi)(1)^2))e^{(-((4)^2)/2)} ?

The solution to 1/(sqrt(2(pi)(1)^2))e^{(-((4)^2)/2)} is 1/(2^{1/2)e^8pi^{1/2}}

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simplify 1/(sqrt(2(pi)(1)^2))e^{(-((4)^2)/2)}

simplify

\frac{1}{2 ( π ) ( 1 ) ^{2}} e^{(- \frac{( 4 ) ^{2}}{2})}

\frac{1}{2 ^{\frac{1}{2}} e ^{8} π ^{\frac{1}{2}}}

Decimal Notation

0.00013 \dots

Solution steps

\frac{1}{2 ( π ) ( 1 ) ^{2}} e^{(- \frac{( 4 ) ^{2}}{2})}

Apply exponent rule:

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

= \frac{1}{1 ^{2} \cdot 2 π} \cdot \frac{1}{e ^{\frac{4 ^{2}}{2}}}

Apply rule

1^{a} = 1

1^{2} = 1

= \frac{1}{2 \cdot 1 π} \cdot \frac{1}{e ^{\frac{4 ^{2}}{2}}}

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

= \frac{1}{e ^{\frac{4 ^{2}}{2}}} \cdot \frac{1}{2 ^{\frac{1}{2}} π ^{\frac{1}{2}}}

\frac{1}{e ^{\frac{4 ^{2}}{2}}} = \frac{1}{e ^{2^{3}}}

= \frac{1}{e ^{2^{3}}} \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^{3}}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{2 ^{\frac{1}{2}} π ^{\frac{1}{2}} e ^{2^{3}}}

2^{3} = 8

= \frac{1}{2 ^{\frac{1}{2}} e ^{8} π ^{\frac{1}{2}}}

(1 + 2 z) e^{- 2 z}

\frac{0.025}{19} \cdot 1. 1^{- 5}

d e (s - 6) (s - 1)^{- 3}

e^{- 1.352923}

What is 1/(sqrt(2(pi)(1)^2))e^{(-((4)^2)/2)} ?
The solution to 1/(sqrt(2(pi)(1)^2))e^{(-((4)^2)/2)} is 1/(2^{1/2)e^8pi^{1/2}}