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Popular >

simplify e^{(-8x)}*e^{-x}

Solution

simplify

e^{(- 8 x)} \cdot e^{- x}

Solution

e^{- 9 x}

Solution steps

e^{(- 8 x)} e^{- x}

Apply exponent rule:

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

e^{- 8 x} e^{- x} = e^{- 8 x - x}

= e^{- 8 x - x}

Add similar elements:

- 8 x - x = - 9 x

= e^{- 9 x}

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Frequently Asked Questions (FAQ)

What is e^{(-8x)}*e^{-x} ?
The solution to e^{(-8x)}*e^{-x} is e^{-9x}