Probably a silly question, but I could not find any reference.
How do you read $\mathbb{F}_2^n$ aloud?
This appeared when I tried to explain something to non-mathematics people (from other disciplines of science/engineering).
$n$-th order Cartesian product of finite field of characteristic $2$
This is what I said. Was it accurate?
I later explained in layman's term (i.e., the set of all $n$-bit Boolean vector) to them, not sure they understood.
As with most terms in mathematics, I read it the first time with a gloss:
"(while writing $\Bbb F_2^n$) "This denotes all lists of exactly $n$ zeroes and ones, which I'll call eff-too-enn from now on..."
Depending on your intended use of that set, I might follow up with "such a list constitutes a binary representation of a number between $0$ and $2^n - 1$", or "that is to say, points in the $n$-dimensional vector space over the field with two elements."
Subsequent times I just say "eff-too-enn".