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Popular >

simplify e^{-3x}*e^{8x}

Solution

simplify

e^{- 3 x} \cdot e^{8 x}

Solution

e^{5 x}

Solution steps

e^{- 3 x} e^{8 x}

Apply exponent rule:

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

e^{- 3 x} e^{8 x} = e^{- 3 x + 8 x}

= e^{- 3 x + 8 x}

Add similar elements:

- 3 x + 8 x = 5 x

= e^{5 x}

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Frequently Asked Questions (FAQ)

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