1. Objectives The student will be able to: 1. multiply monomials. 2. simplify expressions with monomials. PFA 5 Designed by Skip Tyler, Varina High School Edited by Eddie Judd, Crestwood Middle School

2. A monomial is a 1.number, 2.variable, or 3.a product of one or more numbers and variables. Examples: 5 y 3x 2 y 3

3. Why are the following not monomials? x + y addition division 2 - 3a subtraction

4. Multiplying Monomials When multiplying monomials, you ADD the exponents. 1) x 2 x 4 x 2+4 x6x6 2) 2a 2 y 3 3a 3 y 4 6a 5 y 7

5. Simplify m 3 (m 4 )(m) 1.m 7 2.m 8 3.m 12 4.m 13

6. Power of a Power When you have an exponent with an exponent, you multiply those exponents. 1) (x 2 ) 3 x 2 3 x6x6 2) (y 3 ) 4 y 12

7. Simplify (p 2 ) 4 1.p 2 2.p 4 3.p 8 4.p 16

8. Power of a Product When you have a power outside of the parentheses, everything in the parentheses is raised to that power. 1) (2a) 3 23a323a3 8a 3 2) (3x) 2 9x 2

9. Simplify (4r) 3 1.12r 3 2.12r 4 3.64r 3 4.64r 4

10. Power of a Monomial This is a combination of all of the other rules. 1) (x 3 y 2 ) 4 x 3 4 y 2 4 x 12 y 8 2) (4x 4 y 3 ) 3 64x 12 y 9

11. Simplify (3a 2 b 3 ) 4 1.12a 8 b 12 2.81a 6 b 7 3.81a 16 b 81 4.81a 8 b 12

12. Assignment Pg 362 11-45 Odds, 47-49, 52-53