What is simplify-1*e^{x^{-2}}*e^x ?

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

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simplify-1e^{x^{-2}}e^x

simplify

- 1 \cdot e^{x^{- 2}} \cdot e^{x}

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

Solution steps

- 1 \cdot e^{x^{- 2}} e^{x}

Apply exponent rule:

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

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

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

Apply exponent rule:

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

= - 1 \cdot e^{\frac{1}{x ^{2}} + x}

Multiply:

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

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

L^{10} e^{(- 4)}

109.5 e^{- 0.0135}

0.0393 \cdot 1 0^{- 2}

6.2 x 1 0^{- 1}

(2 m^{2}) (4 m)

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