Unique with the meaning `being the only one' or `having no equal' describes an absolute state: a case unique in British law. In this use it cannot therefore be qualified; something is either unique or not unique. However, unique is also very commonly used in the sense of `remarkable' or `exceptional', particularly in the language of advertising, and in this meaning it can be used with qualifying words such as rather, quite, etc.
The totally unique approach of Sola Salon Studios is that we provide high impact , modern , and upscale rental space in a  salon mall  concept that allows salon professionals the opportunity to have their own business and make more money without the risks and challenges of owning a conventional salon... .all for the same rate as a chair rental , ...
Dion's Sola otra vez was selected the number one Spanish language cover of an English pop song by TheSpanishVersion.Org. The All by Myself single became one of Dion's biggest hits in the United States, reaching number 1 on the Hot Adult Contemporary Tracks (for three weeks) and the Latin Pop Airplay (two weeks).