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Popular >

simplify e^x2e^{2x}e^{-x}

Solution

simplify

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

Solution

2 e^{2 x}

Solution steps

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

Apply exponent rule:

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

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

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

Add similar elements:

x + 2 x - x = 2 x

= 2 e^{2 x}

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Frequently Asked Questions (FAQ)

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