How come (2xy^2)^3 is equal to 8x^3 y-6? I thought that six exponent should be a five since you add them together. So 2 and 3 should be five. But why is this?

Review the laws of exponents, and you will find the answer.

If you do not have them handy, some of them are listed in the following thread:
http://www.jiskha.com/display.cgi?id=1252793470