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

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

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simplify 2(1/2)e^{-2(1/2)}

simplify

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

\frac{1}{e}

Decimal Notation

0.36787 \dots

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Cancel the common factor:

2

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

Multiply the numbers:

1 \cdot 1 = 1

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

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

= \frac{1}{e}

0.5 \cdot 0.5 (\frac{1.96}{0.04})^{2}

4 \cdot x^{- 0.5}

(2 x^{3}) (5 x^{4})

e^{- 0.5 (1)}

a t^{2} e^{- b t}