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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

Cancel the common factor:

2

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

Multiply the numbers:

1 \cdot 1 = 1

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

77515 \cdot 281630.85 4^{- 0.2054}

- 6 \cdot e^{- 6 x}

t^{2} e^{- 2 s} sin (2 t)

3.7574 \cdot 1 0^{- 3}

\frac{d}{d x} (\frac{x ^{\frac{1}{2}}}{y})^{- \frac{3}{2}}