ok so the first one is the supremacy clause (that's not all of article 6, it says more about states rights). it means that any laws on the national level trump the ones on the state level.
the second one is the 10th amendment, which says that states can do whatever isn't prohibited by the constitution (and other amendments), not just what is specifically said they can do.
this basically shows the power balance between the national government and states government. the national government is always supreme over state governments, but state governments still do stuff. that's what federalism is.
