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Popular >

simplify 3e^{-2x}*e^{-15x}

Solution

simplify

3 e^{- 2 x} \cdot e^{- 15 x}

Solution

3 e^{- 17 x}

Solution steps

3 e^{- 2 x} e^{- 15 x}

Apply exponent rule:

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

e^{- 2 x} e^{- 15 x} = e^{- 2 x - 15 x}

= 3 e^{- 2 x - 15 x}

Add similar elements:

- 2 x - 15 x = - 17 x

= 3 e^{- 17 x}

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Frequently Asked Questions (FAQ)

What is 3e^{-2x}*e^{-15x} ?
The solution to 3e^{-2x}*e^{-15x} is 3e^{-17x}