What is e^{-ax^2}*e^{-ax^2} ?

The solution to e^{-ax^2}*e^{-ax^2} is e^{-2ax^2}

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simplify e^{-ax^2}*e^{-ax^2}

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Add similar elements:

- a x^{2} - a x^{2} = - 2 a x^{2}

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

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

(0.175 \cdot 1 0^{- 9}) 5000

(125 x^{6}) x (625 x^{12})

400 e^{- 0.02 x} \cdot x

2 (2.4016 \cdot 1 0^{- 11}) (150)