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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