# How do you simplify 5ba^-4 and write it using only positive exponents?

##### 1 Answer
Mar 25, 2018

$\frac{5 b}{{a}^{4}}$

#### Explanation:

There is an index law that states, ${a}^{-} n = \frac{1}{a} ^ n$
So,

$5 b {a}^{-} 4 = \left(5 b\right) \cdot {a}^{-} 4$

therefore $\left(5 b\right) \cdot \left(\frac{1}{a} ^ 4\right) = \frac{5 b}{{a}^{4}}$