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Popular >

simplify e^{-3x}(2e^{2x})

Solution

simplify

e^{- 3 x} (2 e^{2 x})

Solution

2 e^{- x}

Solution steps

e^{- 3 x} (2 e^{2 x})

Apply exponent rule:

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

e^{- 3 x} e^{2 x} = e^{- 3 x + 2 x}

= 2 e^{- 3 x + 2 x}

Add similar elements:

- 3 x + 2 x = - x

= 2 e^{- x}

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Frequently Asked Questions (FAQ)

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