how to get 10 from 100^(1/3) ?



> (%i1) 100^(1/3);
>                                        1/3
> (%o1)                               100
> (%i2) float(%);
> (%o2)                          4.641588833612779
> (%i3) 
> 
> why?

Because:

 10 * 10 * 10 = 1000 =/= 100

and 

 4.641588833612779 * 4.641588833612779 * 4.641588833612779 = 100.000...