Exponents and Polynomial Multiplication

Positive Integral Exponents
If n is a positive integer and x is a real number, then n factors of x equals to x multiply n times, where x is the base and n is the power or the exponent.
Example
positive integral exponents
Exponents Property of Multiplication
exponents property of polynomial multiplication
Example
exponents property of polynomial multiplication example
Exponents Property of Power of a Power
exponents property of power of a power
Example
exponents property of power of a power example
Exponents Property of Power of a Product
exponents property of power of a product
Example
exponents property of power of a product example
Exponents Property of Power of a Quotient
exponents property of power of a quotient
Example
exponents property of power of a quotient example
Exponents Property of Division
exponents property of division
Example
exponents property of division example
Zero as an Exponent
zero as an exponent
Example
zero as an exponent example
Negative Integer Exponents
negative integer exponents
Example
negative integer exponents example
Product of two Monomials
The product of two monomials made by regroup the coeffcients and variables, then multiplying the coefficients, and similar base by adding their exponents, if there is a variable whose similar term is not exist, then keep this variable as a factor of the product.
Example
monomials multiply monomials example
Product of Monomial and Polynomial
To multiply a polynomial by a monomial, multiply each term of the polynomial by the monomial. This fundamental law is known as the distributive law.
Example
monomial multiply polynomial example
Product of Two Polynomials
To multiply polynomials by each other follow the procedure:
1. Arrange each polynomial in decending order.
2. Multiply each term of one polynomial by each term of the other polynomial.
3. Add like terms.
Example
monomial multiply polynomial example
The law of a square minus b square
The law of a square minus b square is the products of a plus b and a minus b, in which a, b are real numbers.
The law of a square minus b square
Example
The law of a square minus b square example
Square a Binomial
The square of a binomial is the sum of the square of the first term, twice the product of the two terms, and the square of the second term.
square a binomial
Example
square a binomial example
Special Products
special products
Example
special products example