What is e^{-r/a}*e^{-r/(2a)} ?

The solution to e^{-r/a}*e^{-r/(2a)} is e^{-(3r)/(2a)}

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simplify e^{-r/a}*e^{-r/(2a)}

simplify

e^{- \frac{r}{a}} \cdot e^{- \frac{r}{2 a}}

e^{- \frac{3 r}{2 a}}

Solution steps

e^{- \frac{r}{a}} e^{- \frac{r}{2 a}}

Apply exponent rule:

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

e^{- \frac{r}{a}} e^{- \frac{r}{2 a}} = e^{- \frac{r}{a} - \frac{r}{2 a}}

= e^{- \frac{r}{a} - \frac{r}{2 a}}

Join

- \frac{r}{a} - \frac{r}{2 a} : - \frac{3 r}{2 a}

= e^{- \frac{3 r}{2 a}}

- \frac{373.53}{0.1} e^{- 0.1 (0)}

(x - 6)^{2}

(3 x + 1) e^{- 3 x}

(3 x - 5) (3 x + 2)

What is e^{-r/a}*e^{-r/(2a)} ?
The solution to e^{-r/a}*e^{-r/(2a)} is e^{-(3r)/(2a)}