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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

t - t^{2} + t : - t^{2} + 2 t

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

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Frequently Asked Questions (FAQ)

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