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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

What is the positive integral exponents?

Exponents Property of Multiplication

What is the exponents multiplication?

Example

Example of the exponents multiplication.

Exponents Property of Power of a Power

What is the exponents property of power of a power?

Example

Example of the exponents property of power of a power.

Exponents Property of Power of a Product

What is the exponents property of power of a product?

Example

Example of the exponents property of power of a product.

Exponents Property of Power of a Quotient

What is the exponents property of power of a quotient

Example

example of the exponents property of power of a quotient.

Exponents Property of Division

What is the exponents property of division?

Example

Example of the exponents property of division.

Zero as an Exponent

What is the value of zero as an exponent?

Example

Example of the zero as an exponent.

Negative Integer Exponents

What is the negative integer exponents?

Example

Example of the negative integer exponents.

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

Example of the monomials multiply monomials.

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

Example of the monomial multiply polynomial.

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

Example of the monomial multiply polynomial.

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.

What is the law of a square minus b square?

Example

What is 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.

What is the square a binomial?

Example

Example of the square a binomial.

Special Products

What is the special products?

Example

Example of the special products.