In first and second hyperoperations (addition and multiplication), order of two operands doesn't matter, result is same. However, it doesn't work on exponentiation. Why it does matter in exponentiation, i mean, if we try to create a law that says : "Order of operands of hyperoperations doesn't change the result", why it gets broken after exponentiation?
Or, if orders actually matters in the nature of hyperoperations, then why addition and multiplication behaves in a way that their order don't differ the result?