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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

(1 - x) \cdot 1 = 1 - x

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

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Frequently Asked Questions (FAQ)

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