What is 1/2 e^{-2*1/2} ?

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

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simplify 1/2 e^{-2*1/2}

simplify

\frac{1}{2} e^{- 2 \cdot \frac{1}{2}}

\frac{1}{2 e}

Solution steps

\frac{1}{2} e^{- 2 \cdot \frac{1}{2}}

Apply exponent rule:

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

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

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

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