Name______________________________________________
Block_________
Exponent Review
Simplify the expression as much as possible. Circle your answer.
1. 𝑥 4 ∙ 𝑥 2
2. 𝑧 2 ∙ 𝑧 ∙ 𝑧 3
3. (𝑥 5 )2
4. [(𝑏 − 2)2 ]6
5. −(5𝑥)2
6. (−5𝑥)2
7. (7𝑥𝑦)2
8. (−10𝑥 6 )2 ∙ 𝑥 2
9. (−8𝑚4 )2 ∙ 𝑚3
10. 6𝑑 2 ∙ (2𝑑 5)4
11. −(2𝑝4 )3(2 𝑝7 )
12. (2 𝑦 5 ) (2𝑦 2 )4
13. (3𝑥 5 )3 (2𝑥 7 )2
14. (−10𝑛)2 (−4𝑛 3)3
15. 𝑦 8 ∙ 𝑦 15
𝑝 4
𝑎 9
16. (𝑞 )
𝑥2
19. (3𝑦 3)
3
17. (𝑦 )
2
4𝑐 3
20. (𝑑2)
3
1
1
4 3
18. (− 𝑥)
3𝑥 3
2
1
21. ( 2𝑦 ) ∙ 𝑥 2
22. (
2𝑥 3
3
1
𝑚4
3
3
5 2
2𝑥 4
23. 8𝑚5 ∙ ( 𝑛2 )
24. (− 𝑥) ∙ ( 𝑦 3 )
25. 𝑥 −4
26. 2𝑦 −3
27. (4𝑔)−3
28. (−11ℎ)−2
29. 𝑥 2 𝑦 −3
30. 5𝑚−3 𝑛−4
31. (6𝑥 −2 𝑦 3 )−3
32. (−15𝑓𝑔2 )0
33.
34.
𝑦
) ∙ 6𝑥 3
𝑥 −5
𝑦2
1
37. (−2𝑧)−2
12𝑥 8𝑦 −7
40. (4𝑥 −2𝑦 −6)2
1
35. 8𝑥 −2𝑦 −6
9
38. (3𝑑)−3
𝑟 −2
𝑠 −4
1
36. 15𝑥 10𝑦 −8
39.
(3𝑥)−3 𝑦 4
−𝑥 2 𝑦 −6
2
Multiple choice. Circle your answer.
41. Which expression is equivalent to (−9)6?
a) (−9)2 (−9)3
42. Which expression is equivalent to 36𝑥12 ?
a) (6𝑥 3 )4
b) (−9)(−9)5
b) 12𝑥 4 ∙ 3𝑥 3
c) [(−9)4 ]2
c) 3𝑥 3 ∙ (4𝑥 3 )3
d) [(−9)3 ]3
d) (6𝑥 5 )2 ∙ 𝑥 2
7𝑥 3
2
43. Which expression is equivalent to (2𝑦4 ) ?
a)
b)
c)
d)
7𝑥 5
2𝑦 6
44. Which expression simplifies to 2𝑥 4?
a) 2𝑥 −4
b)
7𝑥 6
2𝑦 8
49𝑥 5
4𝑦 6
49𝑥 6
4𝑦 8
45. Which expression is equivalent to (−4 ∙ 20 ∙ 3)−2?
a) −12
1
b) − 144
c) 0
1
d) 144
c)
d)
32
(2𝑥)−4
1
2𝑥 −4
8
4𝑥 −4
Challenge problems: Simplify as much as possible. Circle your answer.
46. (−3𝑥 2 𝑦)3 (11𝑥 3 𝑦 5)2
48. (−2)(−5𝑟 3 𝑠𝑡)3(−2𝑟 4 𝑠𝑡 7 )2
50.
2𝑠3 𝑡 3
𝑠𝑡 2
52. (
∙
3𝑥 3 𝑦
𝑥2
(3𝑠𝑡)3
3
49. (
2𝑓2 𝑔3
3𝑓𝑔
2𝑚 5𝑛
4
)
2
51. ( 4𝑚2 ) ∙ (
𝑠2 𝑡
) ∙(
47. −(−𝑥𝑦 2 𝑧 3)5 (𝑥 4 𝑦𝑧)2
𝑦2𝑥 4
5𝑦
2
)
𝑚𝑛4
5𝑛
2
)