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Popular >

simplify e^{8t}*e^{-4t}

Solution

simplify

e^{8 t} \cdot e^{- 4 t}

Solution

e^{4 t}

Solution steps

e^{8 t} e^{- 4 t}

Apply exponent rule:

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

e^{8 t} e^{- 4 t} = e^{8 t - 4 t}

= e^{8 t - 4 t}

Add similar elements:

8 t - 4 t = 4 t

= e^{4 t}

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Frequently Asked Questions (FAQ)

What is e^{8t}*e^{-4t} ?
The solution to e^{8t}*e^{-4t} is e^{4t}