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Popular >

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

Solution

simplify

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

Solution

3 e^{x}

Solution steps

e^{- 2 x} (3 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}

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

Add similar elements:

- 2 x + 3 x = x

= 3 e^{x}

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Frequently Asked Questions (FAQ)

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