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

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

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

simplify

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

2

Solution steps

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

Apply exponent rule:

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

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

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

Add similar elements:

- x^{2} + x^{2} = 0

= 2 e^{0}

Apply rule

a^{0} = 1, a \neq = 0

e^{0} = 1

= 2 \cdot 1

Multiply the numbers:

2 \cdot 1 = 2

= 2

(e^{\frac{( l n ( x ) + c )}{2}})^{2}

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B a^{2} S O^{2}