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

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

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

simplify

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

e^{x + \frac{1}{x ^{2}}} x^{2}

Solution steps

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

Apply exponent rule:

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

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

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

Apply exponent rule:

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

= x^{2} e^{\frac{1}{x ^{2}} + 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)

(\frac{1}{2} p q^{2}) (\frac{1}{2} p^{2} q)

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