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Popular >

simplify (e^{x^2-x})/(e^{-x+3)}

Solution

simplify

\frac{e ^{x^{2} - x}}{e ^{- x + 3}}

Solution

e^{x^{2} - 3}

Solution steps

\frac{e ^{x^{2} - x}}{e ^{- x + 3}}

Apply exponent rule:

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

= e^{x^{2} - x - (- x + 3)}

Expand

x^{2} - x - (- x + 3) : x^{2} - 3

= e^{x^{2} - 3}

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Frequently Asked Questions (FAQ)

What is (e^{x^2-x})/(e^{-x+3)} ?
The solution to (e^{x^2-x})/(e^{-x+3)} is e^{x^2-3}