# How do you evaluate  -81^(3/4)?

Jun 22, 2015

 =color(blue)( - 27

#### Explanation:

 81 = color(blue)(3^4

the expression can be re written as :
$= - {\textcolor{b l u e}{\left({3}^{\cancel{4}}\right)}}^{\frac{3}{\cancel{4}}}$
$= - {\left(3\right)}^{3}$
 =color(blue)( - 27