# How do you simplify 4x^-1 and write it using only positive exponents?

Sep 5, 2016

$\frac{4}{x}$

#### Explanation:

Recall that: ${x}^{-} m = \frac{1}{x} ^ m$

Note that: $4 {x}^{-} 1 = 4 \times {x}^{-} 1 \leftarrow \text{ }$ only x has the negative index!

$4 {x}^{-} 1 = 4 \times {x}^{-} 1$

=$\frac{4}{x}$