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Popular >

simplify e^{-x}(4e^{2x})

Solution

simplify

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

Solution

4 e^{x}

Solution steps

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

Apply exponent rule:

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

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

= 4 e^{- x + 2 x}

Add similar elements:

- x + 2 x = x

= 4 e^{x}

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Frequently Asked Questions (FAQ)

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