1.) Do Now: September 26, 2012Pages 27-282.) Update Table of Contents3.) Take out your HW4.)Then copy this table on page 31 of your notebook.

1. Calculate: a. 20b. 5c. 15d. 4

2. Place on the number line.

1st Law: Product of a Power (multiplication)

Laws of Exponents 31

2nd Law: Quotient of a Power(division)

Activator 1st and 2nd

Vocabulary Word Sort

Vocab Word Sort AnswersBase Number

 

 

A number that is to be raised to a power.

 104

 Exponent A number used to

indicate how many times to multiply the

base by itself.

 

104 

Expanded form A way to write a number or expression so that each place value of a

number is multiplied by it's place value.

  

10 x 10 x 10 x 10 

Exponential form Is a more compact way to write a number or

expression.

104

Activator

What if you had to tell someone to multiply the following number:

5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5

Do you think it will be an easier way to tell them?

EQ: How do I use the properties of exponents to extend the meaning beyond counting number exponents?

Standard:MCC8.EE.1 Know and apply the properties of integer exponents to generate equivalent numerical expressions.

Exponents

35power

base

exponent

3 3 means that is the exponentialform of tExample:

he number125 5 5

.125

The Laws of Exponents:Exponential and Expanded forms: The exponent of a power indicates how many times the base multiply itself.

n

n times

x x x x x x x x

3Example: 5 5 5 5 EXPONENTIAL FORM Expande

d Form

= 125Standard Form

The Laws of Exponents:

1st Law: Product of a Power: • If the BASES are the SAME

and…• If the operation between the bases

is MULTIPLICATION• Then we KEEP THE BASE and

ADD EXPONENTS.

m n m nx x x 3 4 3 4 7Example: 2 2 2 2

3 4

7

Proof: 2 2 2 2 2 2 2 2 2

2 2 2 2 2 2 2 2

The Laws of Exponents: 1st Law: Product of a Power:

We Do, You do…

We Do:

You Do:

75252 3333

46 44 1046 44

The Laws of Exponents:

2nd Law: Quotient of a Power: • If the BASES are the SAME

and…• If the operation between the bases

is DIVISION• Then we KEEP THE BASE and

SUBTRACT EXPONENTS.

The Laws of Exponents: 2nd Law: Quotient of a Power

mm n m n

n

x x x xx

4

4 3 4 3 13

5Example: 5 5 5 5 55

4

3

5 5 5 5 5Proof: 55 5 5 5

We Do, You do…

We Do:

You Do:

2353

5xx

xx

4

12

xx 8412 xx

Student Practic: White Boards

Students will complete practice problems over the 1st and 2nd Law of Exponents by competing in a two teams.

Students will have to work problems on the board as the teacher calls out each problem.

The team with the most points at the end of the game (20 mins) will be the winner!

Practice…

1.)

8 24 4

Practice…

2.) We Do:

6

4

xx

Practice…

3.)

11 57 7

Practice…

4.)

3

2

99

Homework: You will have 10 problems that consist of using the properties of exponents to extend the meaning beyond counting-number exponents from the 1st and 2nd Laws of Exponents.

Closure: 3-2-1….