# How do you simplify (81m^6)^(1/2)?

Apr 12, 2017

$\pm 9 {x}^{3}$

#### Explanation:

An index written as the fraction means the same as the square root.

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

${\left(81 {m}^{6}\right)}^{\frac{1}{2}} = \sqrt{81 {x}^{6}}$

$= 9 {x}^{3}$

Remember that a root can be positive of negative.

$\pm 9 {x}^{3}$