Ok guys my friend is telling me that i am doing this problem wrong 4^4+1/2=256.5 and he is tell me that it is 16.5 am i right or is he right?

You are

Step-by-step explanation:

I can't interpret what he's done. A guess would be that he thinks ^ is the same thing as *. You have correctly stated that 4^4 = 256 and then you just add on the 1/2. You mean 4*4*4*4 and he means 4*4. That's a hard error to correct, but do your best.

Simplify 4^4 to 256

256 + 1/2 = 256.5

Simplify 256 + 1/2 to 513/2

513/2 = 256.5

Since both sides equal, there are infinitely many solutions.