Testing Two Different Treatment Schedules of Dabrafenib and Trametinib for Skin Cancer Which Has Spread

This phase II trial compares the effect of dabrafenib and trametinib given continuously to given with a break in treatment (intermittent) in treating patients with stage III-IV melanoma that cannot be removed by surgery and contains a B-Raf proto-oncogene, serine/threonine kinase (BRAF) mutation. Dabrafenib and trametinib may stop the growth of tumor cells by blocking some of the enzymes needed for cell growth. Giving dabrafenib and trametinib with intermittent dosing may be as effect as when given continuously in treating patients with stage III-IV melanoma with a BRAF mutation that cannot be removed by surgery.