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Popular >

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

Solution

simplify

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

Solution

2 e^{t}

Solution steps

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

Apply exponent rule:

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

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

= 2 e^{2 t - t}

Add similar elements:

2 t - t = t

= 2 e^{t}

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Frequently Asked Questions (FAQ)

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