What is e^{-x^2}(3/2 e^{2x^2}) ?

The solution to e^{-x^2}(3/2 e^{2x^2}) is 3/2 e^{x^2}

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Add similar elements:

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

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

1.007 \cdot 1 0^{- 12}

900 e^{(- 2.4849 \cdot 4)}

\frac{x ^{2}}{( x ^{3} + 2 ) ^{2}}

What is e^{-x^2}(3/2 e^{2x^2}) ?
The solution to e^{-x^2}(3/2 e^{2x^2}) is 3/2 e^{x^2}