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

Dec 22, 2017

$\frac{4}{n} ^ 4$

#### Explanation:

We use the property that ${a}^{- b} = \frac{1}{a} ^ b$, so:

$4 {n}^{-} 4 = 4 \cdot \left(\frac{1}{n} ^ 4\right) = \frac{4}{n} ^ 4$

Dec 22, 2017

$4 {n}^{- 4} = \textcolor{b l u e}{\frac{4}{{n}^{4}}}$

#### Explanation:

Remember that in general
$\textcolor{w h i t e}{\text{XXX}} {a}^{- b} = \frac{1}{{a}^{b}}$

${n}^{- 4} = 4 \cdot {n}^{- 4}$

$\textcolor{w h i t e}{\text{XX}} = 4 \cdot \frac{1}{{n}^{4}}$

$\textcolor{w h i t e}{\text{XX}} = \frac{4}{{n}^{4}}$