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Multiplication and exponentiation in the complex plane became geometric ideas; you could actually see them happening.

Glaz composed phrases to represent each prime number and combined them as dictated by each number’s factorization, using “for” for exponentiation and “in” for multiplication.

Subtraction, division and exponentiation are nonassociative operations: Who’s clumped with whom matters.

Specifically, if we want to think of multiplication as repeated addition, exponentiation as repeated multiplication, and ↑↑ as repeated exponentiation, three groups of five is the way to go.

And then I taught my students Fermat’s Little Theorem, a fundamental result about exponentiation in modular arithmetic.