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

The solution to simplify-2e^{-2x}*e^{-x} is -2e^{-3x}

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

simplify

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

- 2 e^{- 3 x}

Solution steps

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

Apply exponent rule:

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

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

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

Add similar elements:

- 2 x - x = - 3 x

= - 2 e^{- 3 x}

e^{- (2)}

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

(x^{2} y^{4} z^{4}) \cdot (x^{2} y^{5} z^{8})

\frac{15}{2} x^{4} y^{- 2} (0.13 x^{5} y^{4})

e^{- \frac{x}{4}}

What is simplify-2e^{-2x}*e^{-x} ?
The solution to simplify-2e^{-2x}*e^{-x} is -2e^{-3x}