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HomeworkText p. 492, #10-48 evens
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18)
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38)
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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!