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

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

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

simplify

\frac{e ^{x - \frac{1}{2}}}{e ^{- \frac{1}{2} y^{2}}}

e^{x + \frac{y ^{2} - 1}{2}}

Solution steps

\frac{e ^{x - \frac{1}{2}}}{e ^{- \frac{1}{2} y^{2}}}

Apply exponent rule:

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

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

Apply rule

- (- a) = a

= e^{x - \frac{1}{2} + \frac{1}{2} y^{2}}

\frac{1}{2} y^{2} = \frac{y ^{2}}{2}

= e^{x - \frac{1}{2} + \frac{y ^{2}}{2}}

Combine the fractions

- \frac{1}{2} + \frac{y ^{2}}{2} : \frac{- 1 + y ^{2}}{2}

= e^{x + \frac{y ^{2} - 1}{2}}

(\frac{1}{2}) \cdot (9.8 m s^{2}) \cdot (2.85 s)^{2}

1000 (1 + \frac{0.15}{12})^{- 6}

(7.12 \cdot 1 0^{- 4}) (77.6)

e^{- x} (x + C)

(2 π)^{- 0.5} e^{(- \frac{( 3.95 ) ^{2}}{2})}

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