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Why is the zeroth power of 2 equal to 1?
1, the power of 0 of any number except 0 is 1, which is a proved law.

2. Zero power means that the constant term of polynomial is zero power term. The power of 0 of any number except 0 is 1. For example, if the power of 3 is 1 and the power of-1 is also 1, then the power of 0 is meaningless.

3. The zeroth power of any nonzero number is equal to 1. The reasons are as follows: (Proof)

(usually stands for cubic)

The third power of 5 is 125, that is, 5×5×5= 125.

The quadratic of 5 is 25, that is, 5×5=25.

The 1 power of 5 is 5, that is, 5× 1=5.

Therefore, when N≥0, changing the (n+ 1) power of 5 into the n power of 5 needs to be divided by 5, so the 0 power of 5 can be defined as:

∴ 5 ÷ 5 = 1

4. Note:-1? =- 1, but (-1)? = 1。 The former is the zeroth power of 1 plus the negative sign, and the latter is the zeroth power of an integer-1.

Extended data:

1 and power have two algorithms.

The first is to calculate directly by multiplication, such as: 3? =3×3×3×3=8 1

The second is the multiplication of numbers under the power class, such as: 3? =9×9=8 1

Power of 2,0:

Any positive degree of 0 is 0, for example: 0? =0×0×0×0×0=0

0 to the power of 0 is meaningless.

3. Divide from the zero power of 5 to the negative power of 5.

For example, the 0 th power of 5 is 1 (the 0 th power of any non-zero number is equal to 1. )

The-1 power of 5 is 0.2 1÷ 5 =0.2.

The -2 power of 5 is 0.04 0.2÷5 =0.04.

……

Because the-1 power of 5 is 0.2, the -2 power of 5 can also be expressed as 0.2×0.2=0.04.

The -3 power of 5 is 0.2×0.2×0.2=0.008.

……

It can be seen that the -n power of a non-zero number = the n power of the reciprocal of this number.

Baidu Encyclopedia -0 Power

Baidu Encyclopedia-Power