how do i simplify nested roots and powers of a single positive variable?

Question

turingtest · Answer

$$\large (x^a)^b=x^{ab}$$

turingtest · Answer

$$\sqrt[b]{x^a}=x^{a/b}$$so those can be used together

anonymous · Answer

how would i solve this type of problem then?|dw:1328571176207:dw|

anonymous · Answer

raise the equation to the power if 6 then simplify, then take it to the 1/6

anonymous · Answer

how'd u get that... if you don't mind.

anonymous · Answer

got rid of the radicals, using the power rules. easily all you have to do is take the product of each of the nested radicals. make sure you dont forget to apply the power non nested equation. this was simple equation when you get (x +2 + (x)^1/2))^1/2 it becomes very difficult

anonymous · Answer

|dw:1328571786972:dw|  lol. is this what you do though?  I know i got a different answer...