When doing exponents, the base is the number that is a factor, however many times the power is. Ex. 2^3= 222 2 is the base and 3 is the power x^4= xxx*x x is the base and 4 is the power
A base in geometry terms is the surface of a solid object stands on. The top of a solid object can also be a base, since it is parallel to the bottom. In other math terms, a base can be the number that is going to be raised to a power.