What is ∞ to the power of ∞ like?

Uncountable Infinity

step-by-step explanation:

This establishes that countable infinity raised to the power of countable infinity is uncountable infinity. It is larger in some fundamental sense than countable infinity. In fact, it is uncountably larger than countable infinity.

Source: https://gist.github.com/raganwald/0880ccce85eafd60d38f

∞

Step-by-step explanation:

∞ to the power of anything except 0 and 1 is in ∞