Question: User: 2^^2
1. The problem is to evaluate the expression $$2^^2$$, which represents tetration, a power tower of 2s of height 2.
2. Tetration $$a^^n$$ means $$a$$ raised to the power of $$a$$ raised to the power of $$a$$, and so on, $$n$$ times.
3. For $$2^^2$$, this means $$2^2$$.
4. Calculate $$2^2 = 4$$.
5. Therefore, the value of $$2^^2$$ is $$4$$.