NAME _____________________________________________ DATE ____________________________ PERIOD _____________
7-2 Skills Practice
Division Properties of Exponents
Simplify each expression. Assume that no denominator equals zero.
1.
65
2.
4
6
𝑥4
3. 𝑥2
4.
9.
11.
6.
12𝑛5
36𝑛
8.
𝑎3 𝑏5
𝑟3 𝑡2
𝑟3 𝑡4
6
3𝑑
𝑤4 𝑥3
𝑤4 𝑥
𝑚7 𝑝2
𝑎𝑏
−21𝑤5 𝑥2
7𝑤4 𝑥5
2
4𝑝7
)
7𝑟 2
12.
32𝑥3 𝑦2 𝑧5
−8𝑥𝑦𝑧2
14. 4−4
5 −2
15. 8−2
9
9𝑑
10. 𝑚3 𝑝2
2
13. (
98
7
𝑚
5. 𝑚3
7.
912
16. ( )
3
−1
ℎ3
17. ( )
18.
19. 𝑘 0 (𝑘 4 )( 𝑘 6 )
20. 𝑘 −1 (ℓ−6 )( 𝑚3 )
11
21.
23.
25.
𝑓−7
4
𝑓
𝑓−5 𝑔4
−2
ℎ
−15𝑡0 𝑢−1
5 𝑢3
Chapter 7
ℎ−6
16𝑝5 𝑤2
22. (
2𝑝3 𝑤 3
24.
15𝑥6 𝑦−9
5𝑥𝑦−11
26.
48𝑥6 𝑦7 𝑧5
−6𝑥𝑦5 𝑧6
13
0
)
Glencoe Algebra 1
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
7-2 Practice
Division Properties of Exponents
Simplify each expression. Assume that no denominator equals zero.
88
1. 84
4.
2.
𝑚5 𝑛𝑝
𝑚4 𝑝
4𝑓3 𝑔
𝑎4 𝑏6
𝑎𝑏3
3.
5𝑐 2 𝑑3
8𝑦 7 𝑧 6
5. −4𝑐 2 𝑑
3
7. ( 3ℎ6 )
10. 𝑥 3 (𝑦 −5 )( 𝑥 −8 )
3 −2
13. (7)
6. 4𝑦6 𝑧5
2
6𝑤 5
8. (7𝑝6 𝑟3 )
9.
11. p(𝑞 −2)( 𝑟 −3 )
4 −4
22𝑟 3 𝑠2
15. 11𝑟2 𝑠−3
−15𝑤 0 𝑢−1
5𝑢3
17. 4𝑐 −1 𝑑2 𝑓−3
19.
6𝑓−2 𝑔3 ℎ 5
54𝑓−2 𝑔−5 ℎ 3
20.
𝑚−2 𝑛−5
−5
𝑞−1 𝑟 3
)
3
𝑞𝑟
25. (
0
𝑥 −3 𝑦 5
)
4 −3
8𝑐 3 𝑑 2 𝑓4
18. (
−12𝑡 −1 𝑢5 𝑥 −4
2𝑡 −3 𝑢𝑥 5
21.
𝑟4
(3𝑟)3
24.
(2𝑎−2 𝑏)−3
5𝑎2 𝑏4
−4
23.
−4𝑥 2
24𝑥 5
12. 12−2
14. (3)
16.
22. (𝑚4 𝑛3 )−1
𝑥𝑦 2
𝑥𝑦
(𝑗 −1 𝑘 3 )
𝑗3𝑘 3
7𝑐 −3 𝑑 3
−1
2𝑥 3 𝑦 2 𝑧
26. (𝑐 5 𝑑ℎ−4 )
−2
27. (3𝑥4 𝑦𝑧 −2 )
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 cells to red blood cells?
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 threeletter “words”?
Chapter 4
12
Glencoe Geometry