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

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

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

simplify

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

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

Solution steps

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

Cancel the common factor:

2

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

Refine

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

Apply the fraction rule:

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

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

- 3 5 - 2^{3} 3 (- 1.5)

e^{- 0.0625}

f (x, y) (xxx)^{^{'}} (x, y) (x^{9} y^{4} - x^{8} y^{3})

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