Don’t have time to address the main question but I don’t get your adding like bases.
Let’s assume x is 1.
According to your post, 2^2 + 2^2 would equal 4^2.
However 2^2 is 4. 4+4 is 8. 4^2 is 16.
Let’s assume x is 1.
According to your post, 2^2 + 2^2 would equal 4^2.
However 2^2 is 4. 4+4 is 8. 4^2 is 16.