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Popular >

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

Solution

simplify

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

Solution

1

Solution steps

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

Apply exponent rule:

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

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

Apply rule

- (- a) = a

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

Add similar elements:

- x^{2} + x^{2} = 0

= e^{0}

Apply rule

a^{0} = 1, a \neq = 0

= 1

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Frequently Asked Questions (FAQ)

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