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Popular >

simplify 5x(e^{-x/2})

Solution

simplify

5 x (e^{- \frac{x}{2}})

Solution

\frac{5 x}{e ^{\frac{x}{2}}}

Solution steps

5 x (e^{- \frac{x}{2}})

Apply exponent rule:

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

= 5 \cdot \frac{1}{e ^{\frac{x}{2}}} x

Multiply fractions:

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

= \frac{1 \cdot 5 x}{e ^{\frac{x}{2}}}

Multiply the numbers:

1 \cdot 5 = 5

= \frac{5 x}{e ^{\frac{x}{2}}}

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Frequently Asked Questions (FAQ)

What is 5x(e^{-x/2}) ?
The solution to 5x(e^{-x/2}) is (5x)/(e^{x/2)}