# How do you factor (-36u^-10 v^13)/(-51u^20 v^-11 )?

Jun 17, 2017

$\frac{12}{17} \cdot {v}^{24} / {u}^{30}$

#### Explanation:

$\frac{36}{51} \cdot {u}^{- 10 - 20} \cdot {v}^{13 + 11}$

Jun 19, 2017

This is only one term, so the only way we can factor is to write the product of the prime factors.

$\frac{{2}^{2} \cdot 3 {v}^{24}}{17 {u}^{30}}$

#### Explanation:

The fraction has to be simplified first:

$\frac{- 36 {u}^{-} 10 {v}^{13}}{- 51 {u}^{20} {v}^{-} 11}$

$= \frac{12 {v}^{13} {v}^{11}}{17 {u}^{20} {u}^{10}}$

$= \frac{12 {v}^{24}}{17 {u}^{30}}$

$= \frac{{2}^{2} \cdot 3 {v}^{24}}{17 {u}^{30}}$