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Popular >

simplify e^{-st}te^{at}

Solution

simplify

e^{- s t} \cdot t \cdot e^{a t}

Solution

e^{t a - s t} t

Solution steps

e^{- s t} t e^{a t}

Apply exponent rule:

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

e^{- s t} e^{a t} = e^{- s t + t a}

= t e^{- s t + a t}

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Frequently Asked Questions (FAQ)

What is e^{-st}*t*e^{at} ?
The solution to e^{-st}*t*e^{at} is e^{ta-st}t