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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

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

Join

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

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

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Frequently Asked Questions (FAQ)

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