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Popular >

simplify 12e^{-4x}*e^{10x}

Solution

simplify

12 e^{- 4 x} \cdot e^{10 x}

Solution

12 e^{6 x}

Solution steps

12 e^{- 4 x} e^{10 x}

Apply exponent rule:

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

e^{- 4 x} e^{10 x} = e^{- 4 x + 10 x}

= 12 e^{- 4 x + 10 x}

Add similar elements:

- 4 x + 10 x = 6 x

= 12 e^{6 x}

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Frequently Asked Questions (FAQ)

What is 12e^{-4x}*e^{10x} ?
The solution to 12e^{-4x}*e^{10x} is 12e^{6x}