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

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

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

simplify

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

e^{- x^{2}}

Solution steps

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

Apply exponent rule:

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

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

Add similar elements:

x^{2} - 2 x^{2} = - x^{2}

= e^{- x^{2}}

e e^{x}

\frac{- 40}{- 4}

(2 a b^{2} c^{2}) (4 a^{3} b^{2} c^{2})

\frac{s ^{2}}{( s ^{2} + ω ^{2} ) ^{2}}

4.7 \cdot 1 0^{- 8}