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

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

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

simplify

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

- 1

Solution steps

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{1 \cdot e ^{\frac{x ^{2}}{2}}}{e ^{\frac{x ^{2}}{2}}}

Cancel the common factor:

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

= - 1

2 19^{2}

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

t^{2} sin (2 t) u (t)

- 9 \cdot 2^{\frac{2}{3}} \cdot 3^{\frac{1}{3}} π^{\frac{1}{3}}

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