The powers not delegated to the United States by the Constitution, nor prohibited by it to the States, are reserved to the States respectively, or to the people
Doesn't say anything about state's rights. But it does suggest that any powers not already reserved by the Federal government belong as much to the people (i.e., citizens) as they do to the states.
> State's rights are literally enshrined in the Constitution.
Find the word “right” or “rights” in the 10th Amendment.
“Rights” are nowhere associated with governments (state or federal) except in being protected against them in the Constitution (either base, bill of rights, or later Amendments); in the Constitutional model, people have both rights and powers, the latter of which they endow selectively to various governments.
“States rights” is a slogan created much later than the BoR by the pro-slavery faction that continues to be an anti-civil-rights slogan.