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Popular >

simplify x/(e^{-x)}

Solution

simplify

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

Solution

e^{x} x

Solution steps

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

Apply exponent rule:

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

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

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

Apply the fraction rule:

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

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

Apply the fraction rule:

\frac{a}{1} = a

= x e^{x}

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Frequently Asked Questions (FAQ)

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