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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

1 \cdot (x - 4) = x - 4

= \frac{x - 4}{e ^{\frac{x}{4}}}

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Frequently Asked Questions (FAQ)

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