# How do you write the expression m^(-1/2) in radical form?

Jun 11, 2017

$= \frac{1}{\sqrt{m}}$

#### Explanation:

There are 2 laws of indices that we can apply:

${x}^{-} m - \frac{1}{x} ^ m \text{ " and" } {x}^{\frac{1}{2}} = \sqrt{x}$

Get rid of the negative index first:

${m}^{- \frac{1}{2}} = \frac{1}{m} ^ \left(\frac{1}{2}\right)$

Write the fractional index as a root:

$= \frac{1}{\sqrt{m}}$