## Archive for October 15, 2010

### Functional Exponents

Overheard at the NCTM Regional Meeting in Baltimore:

In the expression

x^{3}, what do you call the 3?

An exponent.In the expression

y^{2}, what do you call the 2?

Ay‑ponent.

Speaking of exponents — though apropos of absolutely nothing — here’s an equation that appeared in the 1995 Halloween episode of *The Simpsons*:

1782

^{12}+ 1841^{12}= 1922^{12}

Without a calculator, can you determine whether it’s true or false?