Purpose: To find powers of monomials. This involves multiplying them as well. Homework: p. 156-157 1-41 odd.

Slides:



Advertisements
Similar presentations
Monomials Multiplying Monomials and Raising Monomials to Powers.
Advertisements

Multiplying and Dividing Monomials. Objectives: Understand the concept of a monomial Use properties of exponents to simplify expressions.
Laws of Exponents. Day 1: Product and Quotient Rules EXP 1.1 I can use the Product and Quotient Rules to simplify algebraic expressions.
Simplify each polynomial Adding and Subtracting Polynomials.
Powers of Monomials Lesson #4 Pg. 191.
Exponents and Scientific Notation
8.1 Multiplying Monomials
Get out your notebooks! You will be able to multiply, divide, and simplify monomial expressions involving powers. You will be able to add, subtract, and.
PRE-ALGEBRA. Lesson 4-7 Warm-Up PRE-ALGEBRA How do you multiply numbers with the same base? How do you multiply powers in algebraic expressions? Rule:
Lesson 8.4 Multiplication Properties of Exponents
Lesson 1 MULTIPLYING MONOMIALS. What are we going to do…  Multiply monomials.  Simplify expressions involving powers of monomials.
5.2 Exponents Objectives The student will be able to: 1. Multiply monomials. 2. Simplify expressions with monomials. 3. Learn and apply the laws of exponents.
5.1 Monomials Monomial Standard Notation Scientific Notation.
Do Now: Evaluate Multiplying Monomials Objectives SWBAT: 1) multiply monomials 2) Simplify expressions involving powers of monomials.
Multiplying and Dividing Powers
Chapter 6 Polynomial Functions and Inequalities. 6.1 Properties of Exponents Negative Exponents a -n = –Move the base with the negative exponent to the.
UNIT 2 – QUADRATIC, POLYNOMIAL, AND RADICAL EQUATIONS AND INEQUALITIES Chapter 6 – Polynomial Functions 6.1 – Properties of Exponents.
7.9 Negative Exponents Objective: To use negative exponents. Warm – up: Simplify. 1)2)3) Evaluate. 4) 5 0 5) 6) 7)
Monomials Multiplying Monomials and Raising Monomials to Powers.
Monomials – Product and Quotient Remember your rules for multiplying and dividing variables…- When multiplying like variables, ADD your exponents When.
Properties of Exponents
Evaluating Algebraic Expressions 4-4 Multiplying and Dividing Monomials Math humor: Question: what has variables with whole-number exponents and a bunch.
Algebra I – Chapter Multiplying Monomials 4.4 Powers of Monomials.
Multiplying a Polynomial by a Monomial
POLYNOMIALS Unit 4. The Laws of Exponents Let m and n be positive integers and a and b be real numbers with a 0 and b 0 when they are the divisors  a.
Exponent Rules and Multiplying Monomials Multiply monomials. 2.Multiply numbers in scientific notation. 3.Simplify a monomial raised to a power.
On the count of 3, say… “Irish wristwatch”. Warm ups 1.Solve the system of equations: 3x + 5y = 11 2x + 3y = 7 2.What percent of 16 is 5.12? 3.Find the.
6.1.1 – Properties of Exponents. We worked with combining/multiply like terms, mostly in single terms Example. Simplify the following expressions. 1)
4.1 Properties of Exponents
Multiplication Property of Exponents 8-1. What do the following mean? 1)X 3 2)Y 5 3)2 4 x 2 x 3 X · X · X Y · Y · Y · Y · Y 2 · 2 · 2 · 2 · (X · X) ·
Do Now Subtract (2x 2 + 3x + 8) from (-3x 2 + 6x – 2).
Warm Up What is each expression written as a single power?
5.1 The Product Rule and Power Rules for Exponents
ALGEBRA READINESS LESSON 10-2 Warm Up Lesson 10-2 Warm-Up.
Monomials Multiplying Monomials and Raising Monomials to Powers.
A. – b. 8 – 19 c. – 15 – (– 15) d. – 10 + (– 46) Problems of the Day Simplify. e. f. g. h.
Section 5.1a Monomials. Def: A monomial is an expression that is a number, a variable or the product of a number and one or more variables. Constants.
Multiplying Polynomials Section Multiplying Monomials To multiply two monomials use the associative and commutative properties and regroup. Remember.
12.01 Multiplying Monomials. A monomial is a number, a variable, or a product of both. Examples: 8, x, 5y, x 3, 4x 2, – 6xy 7 Exponential Notation amam.
Opener Evaluate when x = 4.. Test Review Simplifying Exponent Rules.
GENERAL RULES: Add and Subtract Fractions Finding the LCM “Common Denominator” [1] Factor the polynomials [2] Use the greatest power of each different.
LESSON 4-7 EXPONENTS & MULTIPLYING. When we multiply terms with exponents  ADD exponents of like variables.
Monomials Lesson 5-1 Algebra 2. Vocabulary Monomials - a number, a variable, or a product of a number and one or more variables 4x, 20x 2 yw 3, -3, a.
Objectives The student will be able to:
Exponent Bingo.
Aim: What are the product and power rules of exponents?
Objectives The student will be able to:
Objectives The student will be able to:
Distributive Property Section 2.6
8.1 Multiplication Properties of Exponents
8.6 Multiplying a Polynomial by a Monomial
Multiplying and Dividing Powers
Multiplying and Dividing Monomials
13 Exponents and Polynomials.
Multiply polynomials When multiplying powers with the same base, keep the base and add the exponents. x2  x3 = x2+3 = x5 Example 1: Multiplying Monomials.
Exponent Bingo.
Polynomials 1. Multiplying.
Warm-Up 5 minutes Add or subtract. 1) (5x2 + 4x + 2) + (-2x + 7 – 3x2)
Warm Up.
A monomial is a 1. number, 2. variable, or
1.3 – Simplifying Expressions
Multiplying Monomials
Using the Distributive Property to Multiply Monomials and Polynomials
7.1 Multiplying Monomials
Get out your Purple Sheet and be ready for the Warm-Up
Objectives The student will be able to:
Powers of Monomials Lesson #4 Pg. 191.
Objectives The student will be able to:
Simplify the following
Presentation transcript:

Purpose: To find powers of monomials. This involves multiplying them as well. Homework: p odd.

Definitions When you take a monomial, x 5, and take it to a higher power, (x 5 ) 3 it is the same as this: –x 5  x 5  x 5 which is x 15 Rule: –(a m ) n = a mn To find the powers, you multiply the exponents or simply write it out as above.

Definitions (cont.) Power of a Product: –(ab) m = a m b m You need to find the power of each factor then multiply: –Example: (-4mn)³ = (-4)³m³n³ = -64m³n³

Chalkboard Examples 1. (m³) 4 = m³  m³  m³  m³ = m 12 OR 3  4 = 12 so m (x²) 5 = x [(-b) 4 ] 5 = (b 4 ) 5 = b (2y) 4 = 2y  2y  2y  2y = 16y 4 5. (4a 3 b 2 ) 4 = (4) 4 (a 3 ) 4 (b 2 ) 4 = 256a 12 b 8

Last Example #34 p. 157 (a²) 6, (-2a 4 ) 3 Simplify First. a 12, -8a 12 Now you are ready to add because they are like terms. a 12 + (-8a 12 ) = -7a 12 Now you can multiply the two monomials. (a 12 )(-8a 12 ) = -8a 24