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

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objectives the student will be able to
ObjectivesThe student will be able to:

1. multiply monomials.

2. simplify expressions with monomials.

SOL: A.2a

Designed by Skip Tyler, Varina High School

a monomial is a
A monomial is a

1. number,

2. variable, or

3. a product of one or more numbers and variables.

Examples:

5

y

3x2y3

why are the following not monomials x y
Why are the following not monomials?x + y

addition

division

2 - 3a

subtraction

multiplying monomials
Multiplying Monomials

When multiplying monomials, you ADD the exponents.

1) x2 • x4

x2+4

x6

2) 2a2y3 • 3a3y4

6a5y7

power of a power

Power of a Power

When you have an exponent with an exponent, you multiply those exponents.

1) (x2)3

x2• 3

x6

2) (y3)4

y12

power of a product
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

23a3

8a3

2) (3x)2

9x2

simplify 4r 3
Simplify (4r)3
  • 12r3
  • 12r4
  • 64r3
  • 64r4
power of a monomial
Power of a Monomial

This is a combination of all of the other rules.

1) (x3y2)4

x3• 4 y2• 4

x12 y8

2) (4x4y3)3

64x12y9

simplify 3a 2 b 3 4
Simplify (3a2b3)4
  • 12a8b12
  • 81a6b7
  • 81a16b81
  • 81a8b12