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Popular >

simplify e^{x/2}*xe^{x/2}

Solution

simplify

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

Solution

e^{x} x

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

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

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

Combine the fractions

\frac{x}{2} + \frac{x}{2} : x

= e^{x} x

Popular Examples

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2.203 \cdot 1 0^{- 10}

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(x^{2} y) (x y^{4})

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(3.4 \cdot 1 0^{9}) (2.2 \cdot 1 0^{- 5})

Frequently Asked Questions (FAQ)

What is e^{x/2}*xe^{x/2} ?
The solution to e^{x/2}*xe^{x/2} is e^xx