# How do you simplify (9s^-5r^-6)/(3sr^-2)?

Dec 12, 2016

Rewrite the whole thing so there are no more negative exponents remaining, then combine/cancel like-terms.

#### Explanation:

$= \frac{\left(\frac{9}{s} ^ 5\right) \cdot \left(\frac{1}{r} ^ 6\right)}{3 s \cdot \frac{1}{r} ^ 2}$

$= \frac{\frac{9}{{s}^{5} {r}^{6}}}{\frac{3 s}{r} ^ 2}$

$= \frac{3 \cancel{9} \cancel{{r}^{2}}}{1 \cancel{3} {s}^{6} \cancel{{r}^{6}} {r}^{4}}$

$= \frac{3}{{s}^{6} {r}^{4}}$