# How do you simplify (6qr^3)/(-2q^5r)?

May 22, 2016

You can write numbers, $q$'s and $r$''s apart
$= - \frac{6}{2} \times \frac{q}{q} ^ 5 \times {r}^{3} / r$
Then split up the powers of $q$ and $r$
$= - 3 \times \frac{\cancel{q}}{\cancel{q} \times {q}^{4}} \times \frac{\cancel{r} \times {r}^{2}}{\cancel{r}}$
$= - \frac{3 {r}^{2}}{q} ^ 4$