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Popular >

simplify (x/(4-x))e^{-x}

Solution

simplify

(\frac{x}{4 - x}) e^{- x}

Solution

\frac{x}{e ^{x} ( - x + 4 )}

Solution steps

(\frac{x}{4 - x}) e^{- x}

Apply exponent rule:

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

= \frac{x}{- x + 4} \cdot \frac{1}{e ^{x}}

Multiply fractions:

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

= \frac{x \cdot 1}{( 4 - x ) e ^{x}}

Multiply:

x \cdot 1 = x

= \frac{x}{e ^{x} ( - x + 4 )}

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Frequently Asked Questions (FAQ)

What is (x/(4-x))e^{-x} ?
The solution to (x/(4-x))e^{-x} is x/(e^x(-x+4))