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Popular >

simplify (1-e^{-w})e^{-w}

Solution

simplify

(1 - e^{- w}) e^{- w}

Solution

\frac{- e ^{- w} + 1}{e ^{w}}

Solution steps

(1 - e^{- w}) e^{- w}

Apply exponent rule:

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

= \frac{1}{e ^{w}} (- e^{- w} + 1)

Multiply fractions:

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

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

1 \cdot (1 - e^{- w}) = 1 - e^{- w}

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

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Frequently Asked Questions (FAQ)

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