Question 1040004
32^1/5 is 5th root of 32.  The index in the radical form is a 5, rather than a 3 or the default 2, if nothing is written.  It is 2.
1000^2/3 is the cube root (index is 3) of 1000^2.  It is easier to take the cube root of 1000, which is 10, then square it, which is 100.