# How do you simplify 1/36^(-1/2)?

Mar 30, 2017

See the entire solution process below:

#### Explanation:

First, use this rule of exponents to rewrite this expression:

$\frac{1}{x} ^ \textcolor{red}{a} = {x}^{\textcolor{red}{- a}}$

$\frac{1}{36} ^ \textcolor{red}{- \frac{1}{2}} = {36}^{\textcolor{red}{- - \frac{1}{2}}} = {36}^{\textcolor{red}{\frac{1}{2}}}$

Next, we can rewrite this in radical form as (remember, the square root of a number produces a positive and negative result:

${36}^{\textcolor{red}{\frac{1}{2}}} = \pm \sqrt{36} = \pm 6$