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Popular >

simplify (e^{1/2 x})/(e^x)

Solution

simplify

\frac{e ^{\frac{1}{2} x}}{e ^{x}}

Solution

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

Solution steps

\frac{e ^{\frac{1}{2} x}}{e ^{x}}

Apply exponent rule:

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

= e^{\frac{1}{2} x - x}

Simplify

\frac{1}{2} x - x : - \frac{1}{2} x

= e^{- \frac{1}{2} x}

Multiply

- \frac{1}{2} x : - \frac{x}{2}

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

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Frequently Asked Questions (FAQ)

What is (e^{1/2 x})/(e^x) ?
The solution to (e^{1/2 x})/(e^x) is e^{-x/2}