1. Dividing Monomials

2. Objectives Be able to divide polynomials
Be able to simplify expressions involving powers of monomials by applying the division properties of powers.

3. Vocabulary Monomial: A number, a variable, or the product of a number
and one or more variables
Constant: A monomial that is a real number.
Power: An expression in the form xn.
Base: In an expression of the form xn, the base is x.
Exponent: In an expression of the form xn, the exponent is n.
Quotient: The number resulting by the division of one number by another.

4. Review: Exponents
Repeated multiplication can be represented using exponents.
To expand a power, use the exponent to determine the number of times a base is multiplied by itself.

5. Review: Multiplying Monomials
Product of Powers: When two numbers with the same base are multiplied together, add the exponents and leave the base unchanged.
Power of a Product: In a product raised to a power, the exponent applies to each factor of the product.

6. Review: Multiplying Monomials
Power of a Power: When a power is raised to another power, multiply the exponents and leave the base unchanged.
Remember: Follow the order of operations when applying more than one property!

7. Quotient of Powers Simplify:
Step 1: Rewrite the expression in expanded form
Step 2: Simplify.
For all real numbers a, and integers m and n:
Remember: A number divided by itself is 1.

8. Power of a Quotient Simplify:
Step 1: Write the exponent in expanded form.
For all real numbers a and b, and integer m:
Step 2: Multiply and simplify.

9. Example Problems Apply quotient of powers. Apply power of a quotient.
Apply power of a power
Simplify

10. Practice 1. 2.

11. Problem 1

12. Problem 2
THINK!
x2-2 = x0 = 1