solve: (81^-.25)^3

they want the answer as a fraction, how should i do that?

(81^-.25) = 1/3. 1/3^3 = 1/3 * 1/3 * 1/3 = 1/27.

how did you get 1/3? :)

(81^-.25)^3

Note that this is really the same as

[ 81 ^ (-1/4)] ^3 =

[ 1/ 81^(1/4) ] ^3 =

[1 /^{ 4}√81 ]^3 =

[ 1 / 3 ]^3 =

1 / 27 .....just as PsychoBaker found....!!!