The zeroth power is to make the constant term of polynomial become the zeroth power term. The power of 0 of any number except 0 is 1. For example, if the power of 3 is 1, then the power of-1 is also 1.

The power of 0 is indecomposable, defined as 1 in some fields and undefined (meaningless) in some fields.

The reason for the definition is that it is useful in some fields and helps to simplify the formula.

The reason for not defining is that considering continuity, the function value of discontinuous points is not defined.

Some people think that applying the exponential law formula can get 0? =0? =0? /0? =0/0, but if this inference can be established, then 0=0? =0? =0? /0? =0/0, you will get the result without defining 0.

So the power of 0 is meaningless, and 0 is not used as a constant term in mathematics.

Extended data

Square is an operation. For example, the square of a means a×a, and the abbreviation is a? It can also be written as A× A (A (the first power of A multiplied by the first power of A equals the second power of A), for example, 4×4= 16, 8×8=64, and the square sign is 2.

The story of the origin of the square:

Legend has it that a foreign minister in India played chess with the king. The king lost and promised to meet his demand: put the rice on the chessboard. Put 1 capsule in the first box, 2 capsules in the second box, then 4 capsules, 8 capsules, 16 capsules ... until 64 capsules are put in. The king smiled and thought that he was stupid and that it was only a little bit of rice.

According to the minister's request, it takes 1+2+2 to fill 64 squares. +2? +…2 to the 63rd power =2 to the 64th power minus 1 capsule. This number is1844674073709551615, which is a 20-digit number. Not to mention emptying the treasury, even rice in India and even the whole world can't meet the requirements of this minister!

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