Question

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

Answer 1

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

Answer 2

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

Answer 3

how would i solve this type of problem then?

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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