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Popular >

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

Solution

simplify

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

Solution

3 e^{x}

Solution steps

(3 e^{3 x}) 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}

= 3 e^{3 x - 2 x}

Add similar elements:

3 x - 2 x = x

= 3 e^{x}

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Frequently Asked Questions (FAQ)

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