# How do you simplify n^4/(5n^-2) and write it using only positive exponents?

Sep 7, 2016

${n}^{6} / 5$

#### Explanation:

Splitting this we have:

$\frac{1}{5} \times {n}^{4} \times \frac{1}{n} ^ \left(- 2\right)$

Another way of writing $\frac{1}{n} ^ \left(- 2\right) \text{ is } {n}^{2}$

So now we have

$\frac{1}{5} \times {n}^{4} \times {n}^{2}$

This is $\frac{1}{5} \times {n}^{4 + 2} = {n}^{6} / 5$