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Popular >

simplify 2e^{2x}*e^{-3x}

Solution

simplify

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

Solution

2 e^{- x}

Solution steps

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

Apply exponent rule:

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

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

= 2 e^{2 x - 3 x}

Add similar elements:

2 x - 3 x = - x

= 2 e^{- x}

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Frequently Asked Questions (FAQ)

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