It means that there is a power, some number is the base, and 2 is the exponent.
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2 is the base.
A base number is the value to the power of the exponent. For example, in 2^4, 2 is the base number and 4 is the exponent.
256 = 28
If something is to the 0 power it is 1 because you arent multiplying anything.
A base is a number in a term that has an exponent on it. e.g. x^2: x is the base log2(8) 2 is the base