Sec 7-3 Radicals and Rational Exponent
Worksheet
Name: ___________________________
Write the rational exponents as radicals
𝟓
1. 𝒙𝟑
2.
𝟐
𝟕
𝟒𝟑
𝟒
3. 𝟔𝟑
4. (𝟐𝒚)𝟑
Write the radicals as a fractional exponent
5.
𝟒
𝒙
𝟑
6.
Simplify
10. 𝟒𝟖𝟔
13.
!
27
𝟐
𝒙
𝟕
11.
7.
𝟑
𝟔𝟖𝟔
!
Solve each equation.
15. 8! = 8!
18. 3!! = 81
𝟐
𝟑
𝟓
8.
12.
14.
16. 2!!! = 2!
𝟒
𝟑
𝟓
𝟏𝟏
𝟏𝟎𝟓𝟑
!
25
!
17. 5!!!! = 5!!
19. 5!!!! = 625
20.
147
21.
175
22.
63
23.
112
24.
252
25.
245
26.
!
24
27.
!
135
28.
!
250
29.
!
54
30.
!
40
31.
!
189
32.
!
48
33.
!
162
34.
!
405
Simplify
35.
!
49
38.
!
4
41.
!
8
!
!
!
!
36.
!
36
39.
!
100
42.
!
27
37.
!
!
!
81
!
!
40.
!
64
43.
!
1000
!
Solve each equation
44. 2! = 2!
45. 5! = 5!
46. 8! = 8!
47. 3!!! = 3!
48. 2!!!! = 2!"
49. 11!!! = 11!
50. 6!!!! = 6!
51. 5!! = 5!"
52. 4!!!! = 4!
53. 3!!!! = 81
54. 2!!!! = 64
55. 2!!!!" = 32