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

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

= - xx e^{- x - x}

Add similar elements:

- x - x = - 2 x

= - xx e^{- 2 x}

Apply exponent rule:

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

xx = x^{1 + 1}

= - x^{1 + 1} e^{- 2 x}

Add the numbers:

1 + 1 = 2

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

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

60 \cdot 2^{- 0.02 \cdot 430}

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

(1 - a)^{2} (1 - b)^{2} (1 - c)^{2}

(2 x^{\frac{1}{2}} y^{\frac{1}{3}}) (3 x^{\frac{1}{2}} y)

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