(a) A trustee, without authorization by the Probate Division of the Superior Court, may exercise:
(1) powers conferred by the terms of the trust; and
(2) except as limited by the terms of the trust:
(A) all powers over the trust property which an unmarried competent owner has over individually owned property;
(B) any other powers appropriate to achieve the proper investment, management, and distribution of the trust property; and
(C) any other powers conferred by this title.
(b) The exercise of a power is subject to the fiduciary duties prescribed by this chapter.