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Objectives The student will be able to: 1. multiply monomials. 2. simplify expressions with monomials. SOL: A.10 Designed by Skip Tyler, Varina High School.

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Presentation on theme: "Objectives The student will be able to: 1. multiply monomials. 2. simplify expressions with monomials. SOL: A.10 Designed by Skip Tyler, Varina High School."— Presentation transcript:

1 Objectives The student will be able to: 1. multiply monomials. 2. simplify expressions with monomials. SOL: A.10 Designed by Skip Tyler, Varina High 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 3 x 8 x 3+8 x 11 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 raised to another exponent, you multiply those exponents. 1) (x 4 ) 7 x 4 7 x 28 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) r r r r 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 ) a 8 b a 6 b a 16 b a 8 b 12


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