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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

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

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

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Frequently Asked Questions (FAQ)

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