If im changing the subject of an equation to make x the subject with

x^2=n

what do i do to the side n when i take ^2 away. do i square it or take the square root?. Does this apply to any power, ie would it be the same if

x^(2/1)=n or x^(3+6)=n

Yes, the correct approach for this category of equations is to raise power on each side of the equation to reduce the power of the variable to 1 (one).

This is due to the exponent relaionship:
(a^k)^(1/k) = a^1 = a

For example,
x^(7) = n
(x^(7))^(1/7) = n^(1/7)
x = n^(1/7)