SOLUTION: For what positive integers n greater than or equal to 2 is {{{root(n,a^n)}}}{{{""=""}}}{{{a}}} always a true statement?

Algebra ->  Radicals -> SOLUTION: For what positive integers n greater than or equal to 2 is {{{root(n,a^n)}}}{{{""=""}}}{{{a}}} always a true statement?      Log On


   

Question 767750: For what positive integers n greater than or equal to 2 is root%28n%2Ca%5En%29%22%22=%22%22a always a true statement?
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
root%28n%2Ca%5En%29%22%22=%22%22a

It is always true ONLY when n is odd.

[It is true when n is an even number as long as
"a" is not a negative number, but it's false when
n is even and a is a negative number]

Edwin