the four types of powers are the Implied , enumerated, reserved ,and

concurrent. The Impelled powers are powers not specifically defined in the constitution .the enumerated powers are belong to the federal government and include the power to regulate trade, coin money , provide an army and navy , conduct foreign affairs, and set up federal courts. the reserved powers are only for the state government and include regulating trade within the state , establish local government systems, conduct elections , and establish public school systems.that concurrent powers are for notion and state and include enforcing laws , establishing courts collecting taxes , borrowing money , and provide for the general welfare. 

If i had to choose only two i would choose reserved and enumerated because then both state and nation . i also would choose these two because they include very important things like coining money.