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Popular >

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

Solution

simplify

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

Solution

2 e^{- 3 x}

Solution steps

e^{- x} \cdot 2 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 = - 3 x

= 2 e^{- 3 x}

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Frequently Asked Questions (FAQ)

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