# How do you simplify r^2/(2r^3) and write it using only positive exponents?

Apr 25, 2017

$\frac{1}{2 r}$

#### Explanation:

When dividing common variables the exponents are subtracted.

${r}^{2} / \left(2 {r}^{3}\right)$

Think of it like this now...

$\frac{1}{2 {r}^{3 - 2}}$ [Always put a $1$ if the variable is completely simplified]

$\frac{1}{2 r}$