Homework Text p. 492, #10-48 evens 10) 12) 14) 16) 18) 20) 22) 24) 26) 28) 30) 32) 34) 36) 38) 40)...

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HomeworkText p. 492, #10-48 evens

10)

12)

14)

16)

18)

20)

22)

24)

26)

28)

30)

32)

34)

36)

38)

40)

42)

44)

46)

48)

14)3(127

18)8(44 1617

55 22)14(

17a

10y

21)9( d

24y

33125 qp

225x

13400x

1164m

116400n

232y

B

1

people710

5

171213 zyx

Problem of the Day

As I was going to St. Ives

I met a man with seven wives

And every wife had seven sacks

And every sack had seven cats

And every cat had seven kits

Kits, cats, sacks, wives

How many were going to St. Ives?

Solve the above rhyme using exponents. You must give the exponential property used in order to receive the 2 points

Answer

The power of products property allows you to simplify the rhyme using only one base and one exponent

Wives= 71, sacks= 72, cats= 73, kits= 74

71+2+3+4= 710

Do Now 1/31/12

In your notebook, use the properties of exponents involving products to complete the following warm-up problems.

2735 )2()3( xx

29

1415

108

)4)(27(

x

xx

526 )10( xx

17

512

100

)100(

x

xx

Objective

Students will be able to use properties of exponents involving quotients and negatives

Review:Review:

POWERPOWERan expression that represents repeated

multiplication.

24

BASE

EXPONENT2222

Product

Words

two to the fourth power

Section 8.1, “Apply Exponent Properties Involving Products”

(1) (1) Product of Powers Property

(2) Power of a Power Property

(3) Power of a Product Property

nmnm aaa 93636 5555

mnnm aa )( 123434 33)3(

mmm baab )( 555 1723)1723(

Section 8.2, “Apply Exponent Properties Involving Quotients”

(1) (1) Quotient of Powers Property

(2) (2) Power of a Quotient Property

n

m

a

a 5272

7

444

4

m

b

a7

77

2

3

2

3

am-n

am

bm

Try It Out...

(1) (1) Quotient of Powers Property

4

10

8

8

6

410

8

8

6

15

)4(

)4(

9

615

)4(

)4(

6

75

5

55

6

6

12

6

75

5

5

5

5

5

86

1x

x

2

6

8

x

x

x

Try It Out...

(2) Power of a Quotient Property

3

y

x

3

3

y

x

28

c

2

2

2

64

8

c

c

Try It Out...

Use Multiple Properties of Exponents

32

5

4

y

x

3

6

33

323

3

3

2

125

64

5

)(4

)5(

)4(

y

x

y

x

y

x

Try It Out...

Use All Properties of Exponents

2

52

2

1

ab

a

5

8

52

10

25

10

2

5

5

2

2

2

2

1

2

1)(

b

a

ba

a

ab

a

ab

a

Try It Out...Try It Out...

Use All Properties of ExponentsUse All Properties of Exponents

ts

st

st

ts2

3

2

33 )3(2

33

3

33

66

3

2

3

2

33

54

54

272

ts

ts

ts

ts

ts

st

ts

2

3

2

3

y

x3

2

4

58

3

n

m

m

24

2

5

54

2

n

mn

m

nm

Show Your Skills!

Too Many Rules to Remember??

Sometimes creating a simple rhyme, saying or even song can help you remember things easily.

Can you think of any things that were easier to remember through a song?

With the members of your tribe, create a short poem using one, or more, of the properties of exponents. Your poem should be an easy way for someone to learn about the property and remember how to use it.

This is your first grade for the 3rd marking period so start off strong! Tribe with the best poem receives 5 points on the leader board.

Complete the exponent puzzle lining up the equivalent expressions.

When you are finished, you will have made a 4x4 puzzle.

First group to complete the puzzle correctly will gain 3 points on the leader board.

The scores are close. Good luck!

Solve the Puzzle!