The knowledge points of power operation in grade one mathematics should be clear about the meanings of three basic concepts: base, exponent and power.

1, first clarify the meanings of three basic concepts: radix, exponent and power.

2. Its premise is "the same base number". The base number can be a specific number or letter, or it can be a monomial or polynomial, such as: (2x+y) 2 (2x+y) 3 = (2x+y) 5, and the base number is binomial (2x+y).

3. Exponents are all positive integers.

4. this rule can be extended to three or more times of the same base power multiplication, that is, am a p. =am+n+p+.m, n, p are all positive integers.

5. Don't confuse it with algebraic addition. Multiplication can only be calculated by law when the base is the same, that is, the exponents with the same base are added, such as X5 x4 = X5+4 = X9；; The law of addition requires both to be the same; With the same base, the exponents must be the same, which is actually the sum of the coefficients with the same power, for example, -2×5+X5 =(-2+ 1)X5 =-X5, but x5+x4 cannot be combined.

Division of the same radix power:

Power division with the same base is the basis of algebraic expression division, so you should master it skillfully. According to the fact that division is the inverse operation of multiplication, the law of division with the same base power is summarized. Compared with the three laws of power operation mentioned above, the base a here cannot be zero, otherwise the divisor is zero and the division is meaningless.

Because negative exponent and zero exponent are not introduced here, mn is defined again. The division rules of power with the same cardinal number can be summarized as from special to general. The same base power divided by two powers. If the exponent of the divided formula is equal to the exponent of the divided formula, the quotient is equal to 1, that is, am÷an= 1, and m is an arbitrary natural number. A≠0 means a0= 1(a≠0).