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# 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 Exponents Property of Multiplication Example Exponents Property of Power of a Power Example Exponents Property of Power of a Product Example Exponents Property of Power of a Quotient Example Exponents Property of Division Example Zero as an Exponent 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 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 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 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. 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. Example Special Products Example 