It's called a base and an exponent, smart one...
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No, an exponent is not called a base number. the base is the number before the exponent: 34. 3 is the base, 4 is the exponent the expont could also be refered to as three to the fourth power
It is the exponent and tells you how many times the base is to be multiplied.
The base.
the base
it is called an exponential form