The multiplication of rational numbers is 1. First multiply, then multiply and divide, and finally add and subtract.
2. same base powers's multiplication rule: same base powers multiplies and divides, the original base is the base, and the sum or difference of indices is the index. Expressed in letters: a m× a n = a (m+n) or a m ÷ a n = a (m-n) (both m and n are natural numbers).
3. the power of the power, the base is unchanged, multiplied by the index. Expressed in letters: (a m) n = a (m× n)
4. The power of the product, first multiply each multiplier in the product separately, and then multiply the obtained power. Expressed in letters: (a× b) n = a n× b n
Power of rational number
Definition of power: Generally speaking, the multiplication of n identical factors A A A A ... one, which is expressed as an N ... This operation of finding several identical factors is called power, and the result of power is called power. In a n, a is called the base, n is called the index, and it is read as "the n power of a"; When regarded as the result of the n power of a, it can also be read as the n power of a.
The nature of power: any power of positive number is positive, even power of negative number is positive, and odd power of negative number is negative; Any positive integer power of 0 is equal to 0.