# How do you simplify r^8/r^9 and express your answer using positive exponents?

$\frac{1}{r}$ would the simplest form
With the rule that dividing exponents are same as subtracting their power, you can make it so that ${r}^{8} / {r}^{9}$ simplifies to ${r}^{8 - 9}$ which is ${r}^{-} 1$. ${r}^{-} 1$ becomes $\frac{1}{r}$ because you want it in positive exponents.