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Objective SWBAT multiply and divide exponents SWBAT multiply and divide exponents
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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
2424
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