What does $2^{\mathbb {R}}$ mean?

Question

I was looking around on the internet ( as one does) and found the expression $$2^{\mathbb {R}}$$ To me this reads as 2 two the power of the real numbers. But what does that mean? Does it mean the set of all $2^x$ where $x$ is a real number?

Answer 1

It usually denotes the set of all subsets of $\mathbb{R}.$ This is almost certainly the case here, but you've provided no explicit context.