Help?

1.6x^6/3-5x^1/3-6=0

#Still Don't Understand how to solve this..

just like the one with x^1/2,

I think you meant to type

6x^2/3 - 5x^1/3 - 6 = 0
can't do it if it is as you typed it.

let u = x^1/3
then you have
6u^2 - 5u - 6 = 0
(3u+2)(2u-3) = 0
u = -2/3 or 3/2

so, x^1/3 = -2/3 or 3/2
x = -8/27 or 27/8