Do Now 2/8/10Do Now 2/8/10 Take out HW from Friday.Take out HW from Friday.

Text p. 502, #1-3 allText p. 502, #1-3 all

Copy HW in your planner.Copy HW in your planner. Text p. 506, #14-44 even, #50Text p. 506, #14-44 even, #50

In your notebook, describe two situations that could be In your notebook, describe two situations that could be represented by the following powers of the ten.represented by the following powers of the ten.

710 710

ObjectiveObjective

SWBAT evaluate powers that have negative and zero exponents.

“Investigating Algebra Activity”

With a partner complete the Activity on page 502 in the textbook.

Copy and complete the tables in Steps 1 & 2

Complete the ‘Draw Conclusions’ questions #1-3 at the bottom of the page.

ExponentExponent PowerPower

27

9

3

1

1/3

1/9

3323130313

23

Zero and Negative Exponents

Zero and Negative Exponents

PowerPower Fraction FormFraction Form Decimal FormDecimal Form

110

210

310

410

310

210

110

010

10

1

100

1

1000

1

000,10

1

1000

100

10

1

1.0

01.0

001.0

0001.0

1000

100

10

1

Zero and Negative ExponentsZero and Negative Exponents

Let ‘n’ be a positive integer and ‘a’ be a nonzero number.

nn

aa

1 10 a

9

1

3

12 23

Negative ExponentsNegative Exponents Zero ExponentsZero Exponents

105Any number or variable to thezero power is always equal to one.

reciprocalsreciprocals

Evaluate the expressions.Evaluate the expressions.

3490

9

911

31

12

2

3

1

1) 2)

10)5(3)4)

64

1

4

13

90

1undefinedundefine

d

Section 8.1 Section 8.1 ““Apply Exponent Properties Involving Products”Apply Exponent Properties Involving Products”

(1) (1) Product of Powers PropertyProduct of Powers Property

(2) (2) Power of a Power PropertyPower of a Power Property

(3) (3) Power of a Product PropertyPower of a Product Property

nmnm aaa 1255555 3)3(636

mnnm aa )(729

1

3

133)3(

66)3(232

mmm baab )(7776

1

32

132)32(

55555

Section 8.2Section 8.2 “ “Apply Exponent Properties Involving Quotients”Apply Exponent Properties Involving Quotients”

(1) (1) Quotient of Powers PropertyQuotient of Powers Property

(2) (2) Power of a Quotient PropertyPower of a Quotient Property

nmn

m

aa

a 64

1

4

144

4

43

3)4(74

7

0,

bb

a

b

am

mm

9

4

3

2

23

1

2

32

2

2

2

2

Try It Out...Simplify All ExponentsTry It Out...Simplify All Exponents

Use All Properties of ExponentsUse All Properties of Exponents

74 66

216

6

63

74

31)4(

64

14

1

4

4

3

3

31

43

1

81

34

2

1

5

5

125

15

1

5

5

3

3

21

3

2

8

n

n

5

5

23

8

8

8

n

n

n

11

58

2

dc

dc

6

6

66

)511()82(

c

d

dc

dc

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

Use All Properties of ExponentsUse All Properties of Exponents

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

Use All Properties of ExponentsUse All Properties of Exponents

352 xy

15

3

153

3533

8

8

)(2

y

x

yx

yx

22

52

4

)2(

yx

yx

4

3

24

5

222

5

222

5

16

16

)4)(4(

)4()2(

x

y

yx

y

yxx

y

yxx

y

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

262

78

)4(

12

yx

yx

4

3

16

12

16

12

16

12

512

512

)12(7)4(8

124

78

yx

yx

yx

yx

yx

CHALLENGE

HomeworkHomework

Text p. 506, #14-44 even, #50Text p. 506, #14-44 even, #50