SOLUTION: I saw a statement: If a is negative and n is odd then there is just one n-th root, and it is negative also. For example, 3 cube root(-1) = 5th root (-1) = -1. What is the reas

Algebra ->  Radicals -> SOLUTION: I saw a statement: If a is negative and n is odd then there is just one n-th root, and it is negative also. For example, 3 cube root(-1) = 5th root (-1) = -1. What is the reas      Log On


   



Question 263503: I saw a statement:
If a is negative and n is odd then there is just one n-th root, and it is negative also. For example, 3 cube root(-1) = 5th root (-1) = -1.
What is the reasoning for those three numbers above to be equal?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Any odd power or any odd root of -1 is -1.
====================
Cheers,
Stan H.