What is simplify-1/x e^{-1/3 x} ?

The solution to simplify-1/x e^{-1/3 x} is -1/(e^{x/3)x}

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simplify-1/x e^{-1/3 x}

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 1 = 1

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

333

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What is simplify-1/x e^{-1/3 x} ?
The solution to simplify-1/x e^{-1/3 x} is -1/(e^{x/3)x}