Multiplication with the same base: multiplication with the same base, constant base, exponential addition. Amxa=a(m+n)(a≠mn are all positive integers, m >；; n).

Division with the same base: division with the same base, constant base and exponential subtraction. Am÷an=a(m-n)(a≠0mn are all positive integers, m >；; n).

Power: power, constant basis, exponential multiplication. (a m) n = a (mn), (mn is a positive integer).

Power of product: equal to multiplying each factor of product by power respectively, and then multiplying the obtained power. (ab) n = a nb n, (n is a positive integer).

Zero exponent: a0= 1(a≠0).

Negative integer exponential power: a-p= 1/aP(a≠p is a positive integer).

Exponential power of negative real numbers: a (-p) = 1/(a) p or (1/a) p (a ≠ o, p is a positive real number).

Positive integer exponential power: aman = am+n; (am)" = amn； Am/an=am-n(m is greater than na ≠ 0); (ab)"=а？ ьn。

Power of fraction: the result of multiplying the numerator and denominator of fraction is (a/b) n = (a n)/(b n) (n is a positive integer).

force

Power is a number multiplied by several times. When m is a positive integer, n? It means the multiplication of m n. When m is a decimal, m can be written as a/b (where a and b are integers), n? Represents n? Open the root number b again. When m is an imaginary number, we need to use Euler formula eiθ= cosθ+isθ, and then use logarithmic properties to solve it. Put n? As the result of the power, it is called m times, also called the m power of n.

In mathematics, "power" is the form of multiplying a number by several times, and the expression of power is realized by adding a mark to a number, so it is like "covering a headscarf" on a number, which means upgrading in reality, so it just fits the meaning of rapid growth of exponential series in mathematics, and the form is also very appropriate, so it is called power.