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

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

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simplify-2xe^{-x^2}(e^{-2x^2})

simplify

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

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

Solution steps

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

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

Add similar elements:

- x^{2} - 2 x^{2} = - 3 x^{2}

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

1.6 \cdot 1 0^{- 19} \cdot 2500

\frac{e ^{3 k}}{e ^{10 k}}

(x - 1)^{3} (- b + 1)^{3}

2 x (3 x^{2} - 1) (6 x)

5.8 \cdot 1 0^{- 3} \cdot 2.17

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