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

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

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

simplify

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

e^{x^{2} - 2 x + 1}

Solution steps

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

Apply exponent rule:

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

= e^{- 2 x - (- (x^{2} + 1))}

Remove parentheses:

(a) = a, - (- a) = a

= e^{- 2 x + x^{2} + 1}

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