Do Now 12/16/10Do Now 12/16/10

Take out HW from last night.Take out HW from last night. Brain Game page 181Brain Game page 181

Copy HW in your planner.Copy HW in your planner. Text p. 197, #16 – 58 evensText p. 197, #16 – 58 evens

In your notebook on a new page, complete the In your notebook on a new page, complete the activity on page 193 in the textbook. Fill in the 2 activity on page 193 in the textbook. Fill in the 2 tables in the “Investigate” section. Then complete tables in the “Investigate” section. Then complete the “Draw Conclusions” questions 1-4.the “Draw Conclusions” questions 1-4.

HomeworkHomeworkBrain Game page 181Brain Game page 181

First NumberFirst Number Second Second NumberNumber

GCFGCF

945945 735735 105105

645645 435435 1515

648648 432432 216216

658658 532532 1414

ObjectiveObjective

SWBAT multiply and divide exponentsSWBAT multiply and divide exponents

Section 4.5“Rules of Exponents”

Complete the activity on page 193 in the textbook. Fill in the 2 tables in the “Investigate” section. Then complete the “Draw Conclusions” questions 1-4.

Can you think of the rules for exponents?

POWERPOWERan expression that represents

repeated multiplication.

24

BASE

EXPONENT 2222 Product

Words

two to the fourth power

REVIEWREVIEW

Evaluate the expression.Evaluate the expression.

1. x3 when x = 8

1. x3 = 83

= 512= (2.5)(2.5)= 6.25

= 8 8 82. k² = 2.5²

2. k² when k = 2.5

SOLUTIONS

3. d4 when d = 13

3. d4 = ( )13

4

= 13

13

13

13

= 181

REVIEWREVIEW

Multiplying ExponentsMultiplying Exponents

nmnm aaa

To multiply two powers with the SAMEbase, add their exponents.

95454 2222

Evaluate the expressions.Evaluate the expressions.

32 44

624 66 xx

24 32 xx

1) 2)

534112 2121 nmnm

3)4)

532 44 7412 33

)3(7 42 mnnm

42 333

Dividing ExponentsDividing Exponents

nmn

m

aaa

To divide two powers with the SAME base, subtract their exponents (numerator minus denominator).

3252

5

3333

Evaluate the expressions.Evaluate the expressions.

4

9

xx2)

549 xx 2

3

331)

37 3nm

52

65

2763

nmnm3)

123 33

37 5625 nm

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

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

74 aaa

12

741

741

a

a

aaa

)7()7( 3

4

13

13

)7(

)7(

)7()7(

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

4

10

88

6

410

8

8

6

15

)4()4(

9

615

)4(

)4(

6

75

555

6

6

12

6

75

5555

5

86

1 xx

2

6

8

xxx

What Did You Learn Today??What Did You Learn Today??

HomeworkHomework

Text p. 197, #16 – 58 evensText p. 197, #16 – 58 evens

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