simplify xe^{-x/3}

Solution

simplify

x e^{- \frac{x}{3}}

\frac{x}{e ^{\frac{x}{3}}}

Solution steps

x e^{- \frac{x}{3}}

Apply exponent rule:

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

= \frac{1}{e ^{\frac{x}{3}}} x

Multiply fractions:

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

= \frac{1 \cdot x}{e ^{\frac{x}{3}}}

Multiply:

1 \cdot x = x

= \frac{x}{e ^{\frac{x}{3}}}

\frac{9 ^{25}}{1 0 ^{25}}

1.3 \cdot (1 0^{- 9})

e^{2.4} \cdot e^{k}

3.9 \cdot 1 0^{- 12}