Astate has passed a law making it illegal for people to protest at the state capitol building. you think this law is unconstitutional, but your state court system upholds it. what federal branch has the final say on whether your state law is unconstitutional?

Judicial branch.
The Supreme court has the power to rule any law unconstitutional, its called judicial review.

The native americans, spanish, french and americans all name places in our state. the word “arkansas” came from the quapaw indians, by way of early french explorers. at the time of the early french exploration, a tribe of indians, the quapaws, lived west of the mississippi and north of the arkansas river.