What is e^{(rt)/l}(e^{-0.1t}) ?

The solution to e^{(rt)/l}(e^{-0.1t}) is e^{(rt)/l-0.1t}

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simplify e^{(rt)/l}(e^{-0.1t})

simplify

e^{\frac{r t}{l}} (e^{- 0.1 t})

e^{\frac{r t}{l} - 0.1 t}

Solution steps

e^{\frac{r t}{l}} (e^{- 0.1 t})

Apply exponent rule:

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

e^{\frac{r t}{l}} e^{- 0.1 t} = e^{\frac{r t}{l} - 0.1 t}

= e^{\frac{r t}{l} - 0.1 t}

e^{c t} e^{- s t}

e^{3 x} e^{- 4}

e^{- 2 t - 5} (e^{- s t})

4 (e^{- x})

- \frac{1}{4} e^{- 2 (0)}

What is e^{(rt)/l}(e^{-0.1t}) ?
The solution to e^{(rt)/l}(e^{-0.1t}) is e^{(rt)/l-0.1t}