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

The solution to simplify-2e^x*e^{-2x} is -2e^{-x}

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

simplify

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

- 2 e^{- x}

Solution steps

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

Apply exponent rule:

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

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

= - 2 e^{x - 2 x}

Add similar elements:

x - 2 x = - x

= - 2 e^{- x}

(1.4215 \cdot 1 0^{- 5}) (4.85)

e^{- 3 t} sin (2 t) cos (3 t) cosh (t)

(2 a^{3} b^{2}) (3 a^{4} b^{3})

2 \cdot 1 \cdot 1 0^{- 7} (\frac{2 \cdot 0.65}{0.25})

What is simplify-2e^x*e^{-2x} ?
The solution to simplify-2e^x*e^{-2x} is -2e^{-x}