A 'big wig' is a person of importance or influence, usually in a professional or political context. The term can be broken down into four parts: AFRO (4 letters), EXEC (4 letters), EXPERT (6 letters), and AUTHORITY (9 letters). An AFRO is a hairstyle popularized by African Americans, and an EXEC is a high-level executive in a company. An EXPERT is someone with a high level of knowledge or skill in a particular field, and AUTHORITY is the power to make decisions and enforce them. Together, these terms describe someone who is highly influential, knowledgeable, and powerful.