# How do you simplify x^-2 and write it using only positive exponents?

Oct 17, 2016

$\frac{1}{x} ^ 2$

#### Explanation:

Using the $\textcolor{b l u e}{\text{law of exponents}}$

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{{a}^{-} m \Leftrightarrow \frac{1}{a} ^ m} \textcolor{w h i t e}{\frac{a}{a}} |}}}$

Thus ${x}^{-} 2 = \frac{1}{x} ^ 2$

Oct 17, 2016

$\frac{1}{x} ^ 2$

#### Explanation:

Negative index rule:

${a}^{-} b = \frac{1}{a} ^ b$

Using this rule, we know that ${x}^{-} 2$ can be rewritten as $\frac{1}{x} ^ 2$