2. 5.3 Multiplying and Dividing Monomials Goals: To multiply and divide monomials

3. Monomial: An expression that is either a: (1) numeral or constant, ex : 5 (2)a variable, ex: x (3)or a product of numerals and variables ex: 5x (4)variables with whole number exponents. Ex: x² If the monomial is a numeral, it is called a constant. Excludes: “+”, “-”, and if exponent is negative or a fraction. 4x 3 x 3 + 4 -8 2x 2 y

4. Multiply 2 monomials using “properties” (3x 4x) = (3 4)(x x) = 12x 2 (Associative and Commutative) Group the numbers together and then group the same variables together (3x 2 )(-x) = (3x 2 )(-1x) = (3 - 1)(x 2 x) = -3x 3 (-7x 2 y 5 )(4xy 3 ) (-7 4)(x 2 x)(y 5 y 3 ) -28x 3 y 8

5. Multiply: (7y)(2y 2 ) = 14y 3

6. Multiply: (5y -2 )(3y 7 ) = 15y 5

7. Multiply: (-3y 3 )(4xy 5 ) = -12xy 8

8. Divide monomials using properties: Group the numbers together and either divide or reduce and then group the like bases together.

9. Divide monomials using properties:

10. Solve:

14. Assignment: Page 215 (4-66 even) Show this step: