How in the world x cubed * x cubed = x to the power of six?

x^3=x*x*x

(x^3)*(x^3)=(x*x*x)*(x*x*x)=x*x*x*x*x*x=x^6

This is known as the power addition rule which is:

(x^a)*(x*b)=x^(a+b)