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Popular >

simplify e^{4x}*e^{-2x}

Solution

simplify

e^{4 x} \cdot e^{- 2 x}

Solution

e^{2 x}

Solution steps

e^{4 x} e^{- 2 x}

Apply exponent rule:

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

e^{4 x} e^{- 2 x} = e^{4 x - 2 x}

= e^{4 x - 2 x}

Add similar elements:

4 x - 2 x = 2 x

= e^{2 x}

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Frequently Asked Questions (FAQ)

What is e^{4x}*e^{-2x} ?
The solution to e^{4x}*e^{-2x} is e^{2x}