Mathematics a. The side or face of a geometric figure to which an altitude is or is thought to be drawn. The base can be, but is not always, the bottom part of the figure.
b. The number that is raised to various powers to generate the principal counting units of a number system. The base of the decimal system, for example, is 10.
c. The number that is raised to a particular power in a given mathematical expression. In the expression an, a is the base.