What is simplify-3/2*e^{x^2}*e^{-x^2} ?

The solution to simplify-3/2*e^{x^2}*e^{-x^2} is -3/2

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simplify-3/2e^{x^2}e^{-x^2}

simplify

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

- \frac{3}{2}

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

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

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

Add similar elements:

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

= - \frac{3}{2} e^{0}

Apply rule

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

e^{0} = 1

= - 1 \cdot \frac{3}{2}

Multiply:

\frac{3}{2} \cdot 1 = \frac{3}{2}

= - \frac{3}{2}

3.74 \cdot 1 0^{- 19}

- 2.6 e^{(- 0.2 \cdot 5)}

2.26 \cdot 1 0^{- 6}

(e^{- t} - e^{- 2 t}) co n v o l u t i o n u (t)

72 e^{- 0.0673}

What is simplify-3/2*e^{x^2}*e^{-x^2} ?
The solution to simplify-3/2*e^{x^2}*e^{-x^2} is -3/2