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    Exponentiation is repeated multiplication, and the real power lies in the repetition…

    Oh dear god no.

    Looking only at the integers, the SMALL^BIG vs. BIG^SMALL question is a hopeless mishmash, all heuristics and exceptions. Clearly something important happens between 2 and 3. But without delving into the real number line, you’re at a loss to explain where, or why.

    Oh thank heavens.