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Popular >

simplify sqrt(e^{-x)}

Solution

simplify

e^{- x}

Solution

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

Solution steps

e^{- x}

Apply radical rule:

a = a^{\frac{1}{2}}

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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