1. 4.4 Multiplying and Dividing Monomials

2. z 4 7x5, -3a2b3, n2, 8, 8w3 4z2.5, 5 + y, , 2x Vocabulary A monomial is a number or a product of numbers and variables with exponents that are whole numbers.

3. Multiplying Monomials Multiply the coefficients and add the exponents that have the same base. Multiply. A. (3a2)(4a5) B. (4x2y3)(5xy5) (4 ∙ 5)(x2∙ x)(y3 ∙ y5) (3 ∙4)(a2 ∙ a5) (4 ∙ 5)(x2∙ x1)(y3 ∙ y5) 3 ∙4 ∙ a2 +5 4 ∙ 5 ∙ x2 + 1∙ y3+5 12a7 20x3y8

4. 15 3 m5-2 9 8 a2-1 b3-3 9 8 a Dividing Monomials Divide the coefficients and subtract the exponents of the powers in the denominator from the exponents of the powers in the numerator that have the same base. 18a2b3 16ab3 A. 15m5 3m2 B. 5m3

5. Raise a monomial to a power Raise each factor to that power Numbers Algebra n n n 2 2 2 (ab) = a ● b (2●3) =2 ● 3 =4 ●9 A. (2a2b6)4 =36 24 ∙ (a2)4 ∙ (b6)4 16a8b24