Patients receive dabrafenib orally (PO) twice daily (BID) on days 1-28 (once daily on day 1 and BID on days 3-28 of course 1), and pazopanib hydrochloride PO once daily (QD) on days 1-28 (days 2-28 of course 1). Courses repeat every 28 days in the absence of disease progression or unacceptable toxicity.