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Popular >

simplify e^{-3x}\times e^x

Solution

simplify

e^{- 3 x} \cdot e^{x}

Solution

e^{- 2 x}

Solution steps

e^{- 3 x} e^{x}

Apply exponent rule:

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

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

= e^{- 3 x + x}

Add similar elements:

- 3 x + x = - 2 x

= e^{- 2 x}

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Frequently Asked Questions (FAQ)

What is e^{-3x}\times e^x ?
The solution to e^{-3x}\times e^x is e^{-2x}