Polynomials: Multiplying Monomials

A monomial is a polynomial with just one term:

Examples:

or .

-  When you multiply monomials, first multiply the coefficients (a number placed before and multiplying the variable) and then multiply the variables using multiplication property of exponents.


Examples:
Example 1.  Multiply expressions.
Solution: Find the same variables and use multiplication property of exponents:
and
Then, multiply coefficients and variables:

Example 2.  Multiply expressions.
Solution: Use the multiplication property of exponents:
and
Then:

Example 3.  Multiply.
Solution: Use the multiplication property of exponents:
, and
Then:

Example 4.  Simplify.
Solution: Use the multiplication property of exponents:
and
Then: