Download presentation
Presentation is loading. Please wait.
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
Similar presentations
© 2024 SlidePlayer.com Inc.
All rights reserved.