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Popular >

simplify e^xe^3e^{2x}*e^{-6}

Solution

simplify

e^{x} \cdot e^{3} \cdot e^{2 x} \cdot e^{- 6}

Solution

e^{3 x - 3}

Solution steps

e^{x} e^{3} e^{2 x} e^{- 6}

Apply exponent rule:

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

e^{x} e^{3} e^{2 x} e^{- 6} = e^{x + 3 + 2 x - 6}

= e^{x + 3 + 2 x - 6}

Simplify

x + 3 + 2 x - 6 : 3 x - 3

= e^{3 x - 3}

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Frequently Asked Questions (FAQ)

What is e^x*e^3*e^{2x}*e^{-6} ?
The solution to e^x*e^3*e^{2x}*e^{-6} is e^{3x-3}