The power law of fraction is one of the algorithms of fraction, and the power law of fraction is to multiply the numerator and denominator of fraction respectively to get the power result. When multiplying fractions, the numerator and denominator of fractions should be put in brackets respectively. The signs of the fractions themselves should also be multiplied at the same time. When the numerator and denominator of a fraction are polynomials, the numerator and denominator should be raised as a whole respectively. The order of fractional multiplication, division and power mixing operation is the same as that of fractional multiplication, division and power mixing operation.
The multiplication and division of fractions is similar to the multiplication and division of fractions. A, B, C and D in the law can represent numbers or algebraic expressions. The operation of fractional multiplication and division is, in the final analysis, multiplication. According to the law of multiplication, the numerator and denominator should be multiplied separately before being converted into fractions. But in actual calculation, it is sometimes tedious to do so. So it can be reduced first and then increased according to the situation. For the multiplication and division of fractions, when the numerator and denominator are polynomials, factorization should be carried out first, and then simplification should be carried out.
The development history of mathematics:
The first period: the formation period of mathematics (ancient times-the sixth century BC), which is the period when human beings established the most basic mathematical concepts. Since counting, human beings have gradually established the concept of natural numbers, simple calculation methods, and recognized the most basic and simplest geometric forms. Arithmetic and geometry are not separated. The second period: elementary mathematics period and constant mathematics period (6th century BC-AD17th century), the basic and simplest achievements in this period constitute the main content of middle school mathematics, which lasted for about two thousand years.
This period gradually formed the main branches of elementary mathematics: arithmetic, geometry and algebra. The third period: the period of variable mathematics (1early 7th century to1end of 9th century). Variable mathematics came into being in17th century, and has gone through two decisive and significant steps: the first step is the generation of analytic geometry; The second step is the creation of calculus. The fourth period: the modern mathematics period (beginning at the end of19th century), the beginning of the modern stage of mathematics development, which is characterized by profound changes in all foundations-algebra, geometry and analysis.