If a spinner divided into 2 sections is spun 5 times, how many outcomes are possible?

It's a coin toss essentially. So. You say for each spin, there is 2 more possibilities, wherein:

1 spin = 2 possibilities,

2 spins = 4 possibilities

3 spins = 8, etc.

so a spinner divided into 2 sections spun 5 times, has 2^5 possibilities, which is 32 possibilities in total.