Notation for $n$-dimensional intervals

Question

I have a function that maps a number of reals to points where each of its dimensions is constrained to the same interval. I thought about writing it like so:

$$f:\mathbb{R}^m\rightarrow (a,b)^n$$

Would this be correct?

Answer 1

Why not? It coincides with the notion of Cartesian power which is commonly used.