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

RELATED QUESTIONS

if m-th root of m is 4-th root of 2 and n-th root of n is 9-th root of 3.find... (answered by greenestamps)
How do I solve the following equation? n + 2 / 5 = n - 14 My original... (answered by ankor@dixie-net.com)
If a is a solution of x < 5, then a is also a solution of x is less than 5 AND x is... (answered by ikleyn)
Dear math teacher, Would you please explain why n cannot equal -4 and 5 as a solution (answered by solver91311)
Prove: if 4 divides mn, then m is even or n is even. i saw that this was p implies q... (answered by richard1234)
can u help me on this hehe i need 3 examples of every law of exponents(FIRST TO FOURTH... (answered by josgarithmetic)
can you help me on this hehe i need 3 examples of every law of exponents(FIRST TO FOURTH... (answered by Solver92311)
can u help me on this hehe i need 3 examples of every law of exponents(FIRST TO FOURTH... (answered by Solver92311)
3. Determine whether the following statements are always true·, sometimes true and never (answered by Glaviolette)