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Popular >

simplify e^{-4t}*e^{2t}

Solution

simplify

e^{- 4 t} \cdot e^{2 t}

Solution

e^{- 2 t}

Solution steps

e^{- 4 t} e^{2 t}

Apply exponent rule:

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

e^{- 4 t} e^{2 t} = e^{- 4 t + 2 t}

= e^{- 4 t + 2 t}

Add similar elements:

- 4 t + 2 t = - 2 t

= e^{- 2 t}

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Frequently Asked Questions (FAQ)

What is e^{-4t}*e^{2t} ?
The solution to e^{-4t}*e^{2t} is e^{-2t}