NAME
DATE
7-2
PERIOD
Practice
Division Properties of Exponents
Simplify each expression. Assume that no denominator equals zero.
8
xy 2
8
a 4b 6 3 3
2. −
ab
3
m 5np
mp
5d
5c 2d 3
5. −
-−
2
8
84 or 4096
1. −
4
ab
2
4. −
mn
4
( )
4f 3g
3h
3
64f 9g 3
27h
1
xy
10. x3(y-5)(x-8) −
5 5
(7)
3
13. −
-2
(
49
9
5
7p r
u
6f -2g 3h 5
54f g h
g 8h 2
9
24x
-4
1
144
12. 12-2 −
81
256
22r 3s 2
15. −
2rs5
2 -3
−
11r s
( )
8c 3d 2f 4
4c d f
x -3y 5
4
17. −
2c4f 7
-1 2 -3
2
4
6t u
-12t -1u 5x -4
20. −
-−
-3
5
9
m -2n -5 m 2
−
22. −
4 3 -1
2
−
23. −
3 3
15
(m n )
( )
q -1r 3
qr
25. −
-2
n
-5
q 10
r
−
25
2t ux
( c dh )
7c -3d 3
26. −
5
-4
x
j
k
-1
0
1
18. −
-3
−
19. −
-2 -5 3
( j -1k 3) -4
jk
6x
4
r
27
r
−
21. −
3
(3r)
(2a -2b) -3
5a b
4
a
−
24. −
2 4
7
8
c
−
2 4
7d h
(
2x 3y 2z
3x yz
)
27. −
4
-2
-2
40b
9x 2
4y z
−
2 6
28. BIOLOGY A lab technician draws a sample of blood. A cubic millimeter of the blood
contains 223 white blood cells and 225 red blood cells. What is the ratio of white blood
1
cells to red blood cells? −
484
29. COUNTING The number of three-letter “words” that can be formed with the English
alphabet is 263. The number of five-letter “words” that can be formed is 265. How many
times more five-letter “words” can be formed than three-letter “words”? 676
Chapter 7
14
Glencoe Algebra 1
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
5u
1
-4x 2
9. −
-−
5
3
−
12 6
p
qr
(3)
3
-15w 0u -1
16. −
-−
3
4
36w 10
49p r
2
11. p(q-2)(r-3) −
2 3
4
14. −
−
)
6w
8. −
6 3
8y 7z 6
4y z
6. −
2yz
6 5
4
-4c d
−
18
7. −
6
3. −
xy y