Transcript Do Now 2/22/07

Do Now 2/1/10
 Copy
Text
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HW in your planner.
p. 492, #10-48 evens
In your notebook, complete the
“Investigating Algebra” Activity on page 488
in the text. Copy and complete both tables
and then answer the Draw Conclusions
problems #1-8. You will have 10 minutes to
finish.
Chapter 8
“Exponents and Exponential
Functions”
(8.1) Exponents involving products
 (8.2) Exponents involving quotients
 (8.3) Zero and negative exponents
 (8.4) Scientific notation
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Objective
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SWBAT use properties of exponents
involving products
POWER
an expression that represents repeated
multiplication.
2
4
EXPONENT
BASE
Product
 2222
Words
two to the
fourth power
GUIDED PRACTICE
Evaluate the expression.
1.
x3 when x = 8
2. k3 when k = 2.5
3.
d4 when
SOLUTIONS
1.
x3 = 83
=8 8 8
= 512
2. k3 = 2.53
= (2.5)(2.5)(2.5)
= 15.625
3.
d4 =
1
3
4
( )
1
=
3
= 1
81
1
3
1
3
1
3
d=
1
3
Section 8.1, “Apply Exponent Properties Involving
Products”
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(1) Product of Powers Property
a a  a
m

n
5 5  5
6
3
63
5
9
(2) Power of a Power Property
(a )  a
m

m n
n
mn
(34 )3  343  312
(3) Power of a Product Property
(ab) m  a mb m
(23 17)5  235 175
Try It Out...
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(1) Product of Powers Property
a  a4  a7
 a a a
1
a
4
7
1 4  7
 a12
(7) (7)
3
 ( 7 ) ( 7 )
3
 ( 7 )
31
 ( 7 ) 4
1
Try It Out...
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(2) Power of a Power Property
3 8
(n )
n
38
n
24
4 3
[(4) ]
[( x  3) ]
5 2
43
 ( x  3)
12
 ( x  3)
 (4)
 (4)
52
10
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Try It Out...
(3) Power of a Product Property
(4  8)
7
(8c)
 4 8
7
2
 ( 8  c ) 2
 ( 8) 2  c 2
7
 64c 2
(9 xy)
 (8c)
2
 (9  x  y )
2
9 x y
2
2
 81x 2 y 2
2
2
 (8  c ) 2
 (8) 2  c 2
 64c 2
Order of Magnitude
the power of 10 nearest to the quantity
**HINT**
Think of the order of
magnitude as
rounding to the
closest power of 10.
There are about 91,000 species of insect in
the United States. What is the order of
magnitude of the amount of insects in the
United States?
The power of 10 closest to 91,000 is 100,000
or 10 to the 5th power.

Try It Out...
Use All Three Properties
(2 x )  x
3 2
 2  (x )  x
4
2
3
2
 4 x  x
6
4
4
 4 x10

Challenge
(3x y) (11x y )
2
3
3 5 2
 (27 x y )(121x y )
6
3
 3267 x y
12 13
6
10
Homework
Prerequisite Skills Text p. 486, #1-13 all
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1) exponent: 8, base: 13
2) power
3) 100
4) 27
5) 25/36
6) 1/8
7) 6.01, 6.12, 6.2
8) 0.0098, 0.073, 0.101
9) 0.04
10) 0.005
11) 0.138
12) 1.45
13) f(x) = x + 2