Name_________________________________________ Date_________________ Period________
A2-Rational Exponents
Write each expression in radical form.
1
5
3
5. (5𝑥)−4
1. 72
5
9. (6𝑣)2
1
1
6. (5𝑥)−2
2. 23
3
10. 2𝑚−2
3
4
7. (10𝑛)2
3. 62
4
11. 3𝑥 5
6
4. 43
4
12. (3𝑥)5
8. 𝑎5
Write each expression in exponential form. (Negative exponents allowed).
13. (√10)
3
6
4
5
16. ( √5)
3
4
18. √𝑣
14. √2
15. ( √2)
4
17. ( √𝑚)
5
4
3
22.
19. ( √3𝑎)
3
20. ( √6𝑥)
21.
4
4
1
√6𝑝
1
(√3𝑘)
23. 3
5
1
√4𝑥
24. √𝑦 6
Simplify each expression. Leave answers in radical form.
4
4
25. √3 ∗ √7
5
26. √𝑥 3 ∗ 5√𝑦
27.
√800
√8
3
29. √𝑥 7
2
30. 363
4
31.
3
√𝑥 4
28. 3
√𝑥 2
√64
4
√2
4
32.
√400
4
√5
33.
√90𝑥 18
√2𝑥
4
34. 83
3
27
3
1
35. √64
36. √64