What is e^{-2x}\times e^{-2x} ?

The solution to e^{-2x}\times e^{-2x} is e^{-4x}

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simplify e^{-2x}\times e^{-2x}

simplify

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

e^{- 4 x}

Solution steps

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

Apply exponent rule:

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

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

= e^{- 2 x - 2 x}

Add similar elements:

- 2 x - 2 x = - 4 x

= e^{- 4 x}

(14)^{3}

(e^{1})^{2}

What is e^{-2x}\times e^{-2x} ?
The solution to e^{-2x}\times e^{-2x} is e^{-4x}