# 4.4 Multiplying and Dividing Monomials - PowerPoint PPT Presentation

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4.4 Multiplying and Dividing Monomials. z 4. 7 x 5 , - 3 a 2 b 3 , n 2 , 8,. 8 w 3. 4 z 2.5 , 5 + y , , 2 x. Vocabulary. A monomial is a number or a product of numbers and variables with exponents that are whole numbers. Multiplying Monomials.

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4.4 Multiplying and Dividing Monomials

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## 4.4 Multiplying and Dividing Monomials

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.

### 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

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

### 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