simplify x*e^{-1/x}

Solution

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot x = x

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

9.961 \cdot 1 0^{- 14}

(e^{x^{2}})^{3}

\frac{3 ^{14999}}{3 ^{15000}}

1.3558 \cdot (1 0^{8})^{- 0.0178}