simplify xe^{-x/2}

Solution

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot x = x

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

x^{3} \cdot y^{3}

e^{- t} e^{- t}

\frac{x + 1}{3 - x}

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

(6.67 \cdot 1 0^{- 11}) (5.972 \cdot 1 0^{24})