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It's called a base and an exponent, smart one...
A counting base of 10 is a decimal base.
The word "base" is just fine for this purpose.
A hexagonal prism's base is called a hexagonal base. The names of prisms are given according to the shape of their bases. A hexagonal prism has a base that is shaped like a hexagon. Similarly, a pentagonal prism has a pentagonal base.
The base.