LT 8.01 I can evaluate and simplify the nth root of a real number or a variable using both
radical and rational exponent notation.
Name
Class
Date
Practice
6-4
Form G
Rational Exponents
Write each expression in radical form.
4
1
1. x 3
2. (2 y ) 3
3. a1.5
5. a 1.6
6. (ab) 4
2
4. z 3
1
Write each expression in exponential form.
x3
7.
10.
3
8. ( 4 b )3
2 y2
11.
4
6
9.
(5ab)3
Write each expression in simplest form. Assume that all variables are positive.
1
2
13. 7 0
12. (814 ) 4
14. 8 3
1
1
16. x 2  x 3
2
15. ( 27) 3
1
 1 4

 16 
1
18. (82 ) 3
19. 
1
17. 2 y 2  y
2
 27  3

 8 
20. 
1
1
2
21. (3 x 2 )(4 x 3 )
22.
12 y 3
4y
1
2
1
1
23. (3a 2 b 3 ) 2
Write each expression in simplest form. Assume that all variables are positive.
 x7
 x 23




4
2
3
24. y 5  y 8
25. 
 12
2
27. 81
1
26. (2a 4 )3
1
28. (2 x 5 )(6 x 4 )
1
 27 x 6  3
30. 
4 
 64 y 
31.
1
2
1
1
29. (9 x 4 y 2 ) 2
x2 y3
x3 y 2
Prentice Hall Gold Algebra 2 • Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
33
1