Expressed in letters: (a× b) n = a n× b n
The power law of this product also applies to the power of three or more multipliers. For example:
(a×b×c)^n=a^n×b^n×c^n
The power of aM is multiplied by the power of aN, (m, n is a positive integer)
Self-exploration: after the formula is reversed, it can also be called "exponential power multiplication"
That is: multiply with the exponential power, the exponent is unchanged, and the base is multiplied. a^n*b^n=(ab)^n
The operation of finding the product of n identical factors is called power, and the result of power is called power. Where a is called radix and n is called exponent. When a. When it is regarded as the result of the n power of A, it can also be read as "the n power of A" or "the n power of A"
A number can be regarded as its own power, and the index 1 is usually omitted. Put parentheses when writing fractions and negative numbers to the nth power. Four operation sequences: first power, then brackets (first brackets, then middle brackets, finally braces), then multiplication and division, and finally addition and subtraction.
Calculate the decimal power of a number, and if the decimal number is rational, convert it into a fraction. In particular, the power of 0 of any number except 0 is equal to 1. The non-positive exponential power of 0 is meaningless.
Extended data:
Numbers whose absolute value is greater than or equal to 1 can be written in the form of (where n is a positive integer), which is called scientific notation? For example,?
When it is a negative integer exponential power, the number whose absolute value is less than 1 can also be expressed by scientific notation. For example, numbers whose absolute value is less than 1 can also be expressed by scientific notation, where is a positive integer.
The 0 th power of any nonzero real number is equal to 1.
Symbolic law of rational number power;
(1) Even powers of negative numbers are positive numbers, and odd powers of negative numbers are negative numbers.
(2) Any degree of a positive number is a positive number.
(3) Any positive power of 0 is 0.
The operation of finding the product of n identical factors is called power, and the result of power is called power. Where a is called the base and n is called the exponent, when a? When it is regarded as the result of the n power of A, it can also be read as "the n power of A" or "the n power of A"
Note: In the following discussion, the cardinality is not 0.
The concept of product depends on the definition of "multiplication". When people upgrade the set of multiplication objects to more general sets, such as groups, rings, fields, etc. The concept of the product will also change.
Let A be a set, we define the multiplication F:A ×A→A, that is, the mapping of A and its own cartesian product to A, and let (x, y)∈A×A, then we call the pixel F(x, y) the product of x and y, abbreviated as xy.
Product is the name of many different concepts in mathematics. In arithmetic, the result of multiplication of two or more numbers is called their product or product. When the multiplied numbers are real numbers or complex numbers, the order of multiplication has no effect on the product, which is called commutativity.
When the product is a quaternion or matrix, or an element in some algebraic structures, the order will affect the result of the product. This shows that the multiplication of these objects is not commutative.
When more than two objects need to be multiplied, the multiplication symbol ∏ (capital π) is often used. Just like adding multiple objects with sigma as the symbol. Generally speaking, when only one object is to be multiplied, the product is the object itself; The so-called "empty product" can also be agreed to be 1 without multiplication objects.
References:
Baidu encyclopedia-multiplication