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Popular >

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

Solution

simplify

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

Solution

e^{- x + 2}

Solution steps

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

Apply exponent rule:

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

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

Simplify

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

= e^{2 - x}

= e^{- x + 2}

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Frequently Asked Questions (FAQ)

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