# How do you simplify (2h^3j^-3k^4)/(3jk) and write it using only positive exponents?

##### 1 Answer
Feb 23, 2017

$\frac{2 {h}^{3} {k}^{3}}{3 {j}^{4}}$

#### Explanation:

Splitting this we have:$\text{ } 2 \times {h}^{3} \times \frac{1}{3} \times {j}^{- 3} / j \times {k}^{4} / k$

Note that ${j}^{- 3}$ is the same as $\frac{1}{j} ^ 3$

and that ${k}^{4}$ is the same as $k \times {k}^{3}$

Putting this back together we have:

$\frac{2 {h}^{3}}{3} \times \frac{1}{j} ^ 3 \times \frac{1}{j} \times \frac{\cancel{k} \times {k}^{3}}{\cancel{k}}$

$\frac{2 {h}^{3} {k}^{3}}{3 {j}^{4}}$