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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
“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
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