1003124905

Numbers ${\left(2^2\right)}^{\left(2^2\right)}$, ${\left(2\right)}^{\left({2^2}^2\right)}$, ${\left({2^2}^2\right)}^2$, ${\left(2\right)}^{{\left(2^2\right)}^2}$ were written on the board. How many different numbers are represented by these records?