What is simplify-e^{-x}*9e^{-3x} ?

The solution to simplify-e^{-x}*9e^{-3x} is -9e^{-4x}

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simplify-e^{-x}*9e^{-3x}

simplify

- e^{- x} \cdot 9 e^{- 3 x}

- 9 e^{- 4 x}

Solution steps

- e^{- x} \cdot 9 e^{- 3 x}

Apply exponent rule:

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

e^{- x} e^{- 3 x} = e^{- x - 3 x}

= - 9 e^{- x - 3 x}

Add similar elements:

- x - 3 x = - 4 x

= - 9 e^{- 4 x}

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What is simplify-e^{-x}*9e^{-3x} ?
The solution to simplify-e^{-x}*9e^{-3x} is -9e^{-4x}