1) Expressed/Enumerated Powers- declaring war, admitting new states, establishing post offices, coining money and regulating interstate commerce
2) implied powers- based on necessary and proper clause, artic 1, sec 8. "elastic clause" " US Bank, coin money, borrow money, regulate international commerce.
3) inherent powers- obviously belonging to national gov. making treaties, seeking trades, and waging war.
shared - establish courts, Borow money, punish crime and tax
NATIONAL: maintain military, declare war, establish postal system, set standards for weights and measures, protect copyrights
STATE : establish local govs, set up schools, regulate state commerce, make regulations for marriage.
BOTH- as one gain powers, the other loses. the states by definition have 'reserved powers;, 10th amend. zero sum gain situation.