What is simplify-e^{-t}*e^{2t} ?

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

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

simplify

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

- e^{t}

Solution steps

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

Apply exponent rule:

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

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

= - e^{- t + 2 t}

Add similar elements:

- t + 2 t = t

= - e^{t}

6 e^{- 0.25 (12)}

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e^{3 x} \cdot e^{2 y}