Try to prove or disprove that R and R^2 and C are the same size, were R is the real number line, R^2 is the Plane of all real numbers, and C is the plane of complex numbers. Prove the set R, R^2, and C are all the same size.

Then prove, That for all n,x,y,m size of C^n = size C^x = size R^y = size R^m where n,x,y,m can be any number.