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Popular >

simplify 20e^{-3x}*e^{-5x}

Solution

simplify

20 e^{- 3 x} \cdot e^{- 5 x}

Solution

20 e^{- 8 x}

Solution steps

20 e^{- 3 x} e^{- 5 x}

Apply exponent rule:

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

e^{- 3 x} e^{- 5 x} = e^{- 3 x - 5 x}

= 20 e^{- 3 x - 5 x}

Add similar elements:

- 3 x - 5 x = - 8 x

= 20 e^{- 8 x}

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Frequently Asked Questions (FAQ)

What is 20e^{-3x}*e^{-5x} ?
The solution to 20e^{-3x}*e^{-5x} is 20e^{-8x}