(a) An out-of-state state bank which establishes and maintains one or more branch offices in this State under this subchapter may conduct any activities at such branch office or offices that are authorized under the laws of this State for Delaware state banks.
(b) A Delaware state bank may conduct any activities at any branch office outside this State that are permissible for a Delaware state bank, a bank chartered by the state where such branch office is located, or a branch office of any national bank located in the state where such branch office of the Delaware state bank is located.