math
posted by t.williams .
what do you know about the sign of a negative integer raised to an odd power and even power

Look at a number such as 2. Raised to an even power (say 2) is 2*2 = +4.
Or raised to 4 (another even power) is 2*2*2*2 = +16. Both 4 and 16 are positive numbers.
Raise 2 to an odd power (say 3) and we have 2*2*2 = 8 (a negative answer).
Or raised to 5 is
2*2*2*2*2 = 32 (a negative answer). You should be able to get the connection from these example.