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

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

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

simplify

2 \cdot \frac{2}{2} \cdot e^{- (\frac{2}{2})^{2}}

\frac{2}{e}

Decimal Notation

0.85776 \dots

Solution steps

2 \cdot \frac{2}{2} e^{- (\frac{2}{2})^{2}}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Cancel the common factor:

2

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

Multiply:

2 \cdot 1 = 2

= \frac{2}{e ^{(\frac{2}{2})^{2}}}

e^{(\frac{2}{2})^{2}} = e

= \frac{2}{e}

Combine same powers :

\frac{x}{y} = \frac{x}{y}

= \frac{2}{e}

y^{1}

9.11 \cdot 1 0^{- 28}

0.00274 e^{- 0.00045}

e^{x} \cdot x e^{- x}

((\frac{1}{5})^{- 2})^{2}^{\frac{1}{2}}

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