# How do you simplify 4yx^-3?

Oct 31, 2016

Only the negative index needs attention.

$\frac{4 y}{x} ^ 3$

#### Explanation:

Answers are generally not given with negative indices.

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

A negative index becomes positive by taking the reciprocal of the base - that is, if is moved between the numerator and the denominator

In the term $4 y {x}^{-} 3 \text{ } \leftarrow$ only the $x$ has a negative index.

$4 y \textcolor{b l u e}{{x}^{-} 3} = \frac{4 y}{\textcolor{b l u e}{{x}^{3}}}$