Well I just read about ^^ (2^^2 = 2^2)

I was wondering, it was said that 3^^3 = 3^(3^3) BUT

^^ is a series of exponentials, so the answer should be 3^3^3, and PEDMA says you read from left to right, so it would be (3^3)^3

3^(3^3) = 3^27
(3^3)^3 = 3^(3*3) = 3^9

I'd say that's a pretty big difference, what do you think?