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Popular >

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

Solution

simplify

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

Solution

e^{2 x}

Solution steps

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

Apply exponent rule:

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

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

= e^{- x + 3 x}

Add similar elements:

- x + 3 x = 2 x

= e^{2 x}

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Frequently Asked Questions (FAQ)

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