Polynomials: Multiplying and Dividing Monomials

When you divide or multiply two monomials, you need to divide or multiply their coefficients and then divide or multiply their variables.
-  In case of exponents with the same base, for Division, subtract their powers, for Multiplication, add their powers.

-  Exponent’s Multiplication and Division rules:


Examples:
Example 1.  Multiply expressions.
Solution: Use multiplication property of exponents:


Then:

Example 2.  Divide expressions.
Solution: Use division property of exponents:

and
Then:

Example 3.  Divide expressions.
Solution: Use division property of exponents:

and
Then: