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Popular >

simplify e^xe^{-6x}e^8

Solution

simplify

e^{x} \cdot e^{- 6 x} \cdot e^{8}

Solution

e^{- 5 x + 8}

Solution steps

e^{x} e^{- 6 x} e^{8}

Apply exponent rule:

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

e^{x} e^{- 6 x} e^{8} = e^{x - 6 x + 8}

= e^{x - 6 x + 8}

Add similar elements:

x - 6 x = - 5 x

= e^{- 5 x + 8}

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Frequently Asked Questions (FAQ)

What is e^x*e^{-6x}*e^8 ?
The solution to e^x*e^{-6x}*e^8 is e^{-5x+8}