LESSON Practice B Integer Exponents - Weebly
Name
Date
Class
Practice B
LESSON
7-1
Integer Exponents
Simplify.
1. 5
3
1
1
_______
_____
5
125
3
2
1
___
2
3. 5
5. 6
1
1
2. 2 6 _______
_____
6
64
25
0
1
___
64
4. 4 3
1
___
2
6. 7
1
49
Evaluate each expression for the given value(s) of the variable(s).
7. d
3
8. a 5b 6 for a 3 and b 2
for d 2
243
____
1
__
8
10. 5z
¨Cx
9. b 4 2 for b 1
1
__
64
for z 3 and x 2 11. 5z
x
9
for z 3 and x 2 12. c
3
16
2
for c 4
5
__
1
____
1
______
9
225
16,384
Simplify.
13. t
4
s 3
15. ____
t 5
14. 3r 5
5
1
__
3
__
t
___
t4
r5
s3
4fg 5
18. _____
5h 3
2x 3y 2
17. ________
z4
h0
16. ___
3
2
_______
1
__
3
3
5g 5
2 4
x y z
14a 4
19. _______
20bc 1
2
4
4
2
a bc d
10a b
h
______
3
2g 2k 2
22. A cooking website claims to contain 10 5 recipes.
Evaluate this expression.
23. A ball bearing has diameter 2 3 inches.
Evaluate this expression.
Copyright ? by Holt, Rinehart and Winston.
All rights reserved.
a107c07-1_pr.indd 4
2
3g hk
21. __________
6h 0
a 4c 2e 0
20. _______
b 1d 3
7c
______
3
4fh
____
100,000
1 inch or 0.125 inch
__
8
4
Holt Algebra 1
12/26/05 7:45:03 AM
Process Black
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)NTEGER %XPONENTS
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3IMPLIFY
3IMPLIFY
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? q ?
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? q ? q? q ?
??
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FOR X
M N
?{
FOR M AND N R
S? D S? D
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S D ?????
?
S? D
S ? D q ?????
S ? D
???
?????
Z
nX
????
B
???
? {???
K
????
????
? ?? ??
4HE WEIGHT OF A SILVER CHARM IS
%VALUATE THIS EXPRESSION
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3IMPLIFY
M ? ????
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S D
???
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?{?
??
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?? ??
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S D
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,i?i>V
)NTEGER %XPONENTS
$EFINITION
?
S D
G HK
??????????
H
2EMEMBER THAT MEANS 4HE BASE IS THE EXPONENT IS POSITIVE
%XPONENTS CAN ALSO BE OR NEGATIVE
????
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??
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? ?? ??
??x
#OPYRIGHT ? BY (OLT 2INEHART AND 7INSTON
!LL RIGHTS RESERVED
???
S D
A C E
???????
B D
! BALL BEARING HAS DIAMETER INCHES
%VALUATE THIS EXPRESSION
,%33/.
?xG ?x?
! COOKING WEBSITE CLAIMS TO CONTAIN RECIPES
%VALUATE THIS EXPRESSION
?????}iL?>??
:ERO %XPONENTS
.EGATIVE %XPONENTS
.EGATIVE %XPONENTS IN
THE $ENOMINATOR
&OR ANY NONZERO
NUMBER X
X
&OR ANY NONZERO NUMBER X
AND ANY INTEGER N X N ??N
X
&OR ANY NONZERO NUMBER
X AND ANY INTEGER N
X N
????
X N
%VALUATE EACH EXPRESSION FOR THE GIVEN VALUES OF THE VARIABLES
X Y FOR X AND Y
S XY D FOR X AND Y ??
??M
S D
??
???
???
N
???
????
????
ARE UNDEFINED
Z
?X ???
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? ????
?N ???
{
?????
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??
?R ? ?
FOR M
S ? ?? ?
????????
?
?
{ ?
?P ? ??Q ? ??R ? ?
T
?
????
? ?? ??
??X
??X ?{?
B ????C?????
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??
?
?D ? ?
B
??????
C D
?
C ? ???
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A B
??????
C D
?B ???D
!N OBJECT IS BEING MEASURED BY A MICROMETER )T HAS A
THICKNESS OF INCHES %VALUATE THIS EXPRESSION
#OPYRIGHT ? BY (OLT 2INEHART AND 7INSTON
!LL RIGHTS RESERVED
Copyright ? by Holt, Rinehart and Winston.
All rights reserved.
3IMPLIFY X Y
X Y Z
X Z
????
Y
7RITE WITHOUT NEGATIVE EXPONENTS
????
??
?????
?A ? ?
X Y
????????
Z
G H
???????
K J
Z
7RITE WITHOUT NEGATIVE
EXPONENTS
Z
3IMPLIFY
Y
???
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? ?x? ???
????????????
???
?X ? ?Y
? ??
?
X
??
3IMPLIFY
????
?????
?
Y
&ILL IN THE BLANKS TO SIMPLIFY EACH EXPRESSION
?T ? ?
A
X
?????
7RITE IN EXPANDED FORM
???
???
? ????
! MICROMETER IS AN INSTRUMENT THAT CAN MEASURE
THE THICKNESS OF AN OBJECT VERY ACCURATELY /NE
MICROMETER IS ACCURATE TO WITHIN INCHES
%VALUATE THIS EXPRESSION
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x??
?
P Q
???????
R S
3IMPLIFY
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? ?? ??
n
R S
AND
????
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n?
N
A B FOR A AND B
????
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X
S?? D
??
S M D FOR M
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?x???
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3IMPLIFY
%XAMPLES
R S FOR R AND S
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A
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BC
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x
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X Y
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?
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x
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#OPYRIGHT ? BY (OLT 2INEHART AND 7INSTON
!LL RIGHTS RESERVED
D FOR C
S
????
T
???
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{
R T
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S
4HERE ARE ABOUT DIFFERENT SPECIES OF BIRDS
ON %ARTH *UST OVER OF THEM ARE THREATENED
%VALUATE BOTH EXPRESSIONS
S
??x
R
{
GRAMS
?
FOR Z AND X C
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X
3IMPLIFY
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F ?{?G
??K ?{?
????
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M N
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P
F
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G
S B D FOR B
FOR A AND B
?T ? ?
?xB ???
?X ???
FOR Z AND X S Z D
3IMPLIFY
A B
??
?x?
???
q ???
?x???
??
??
X
{?
q ??????
{
S ? D
q ???????????????
? q ? q ? q ?
??
FOR D
??
??
n
FOR R
S ? D
???
?????
S D
?
%VALUATE EACH EXPRESSION FOR THE GIVEN VALUES OF THE VARIABLES
????
?????
?{
S D
?x
%VALUATE EACH EXPRESSION FOR THE GIVEN VALUES OF THE VARIABLES
D
X
?
???
?????
S D
?
?????
???????
?
?{
??x
?
S D
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?
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S ? D ? q ? q ? q ? q ? ?
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x
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S D ??????
S ? D ? q ? q ? ??
S D
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x
G ? ??KJ ? ?
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? ?
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?H ???
3IMPLIFY
Y
??????
? ?? ??
??V ?????¡ã???????V
??]???
????
? ?? ????V ?????¡ã??{?????V
???
???
Y
X
???
X
????
X Y
?????}iL?>??
???
Y
#OPYRIGHT ? BY (OLT 2INEHART AND 7INSTON
!LL RIGHTS RESERVED
67
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A
A
?A?
B
??????
A B
B
X Y
X
????
Y
X Y
Y
????
X
(OLT !LGEBRA
Holt Algebra 1
12/26/05 7:40:56 AM
................
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