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Popular >

simplify e^{-x}*e^{6x}

Solution

simplify

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

Solution

e^{5 x}

Solution steps

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

Apply exponent rule:

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

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

= e^{- x + 6 x}

Add similar elements:

- x + 6 x = 5 x

= e^{5 x}

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Frequently Asked Questions (FAQ)

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