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

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

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

simplify

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

\frac{1}{2 e}

Decimal Notation

0.42888 \dots

Solution steps

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

Apply exponent rule:

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

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

\frac{2}{2} = \frac{1}{2}

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

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{2 e}

0.6 \cdot 1 0^{- 4}

(2 x - 3 x^{2}) (2 x - 3 x^{2})

4 x^{2}

\frac{26}{3}

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