Algebra 2H A
6.1-6.4 Review
Name:_____________________________________
Simplify each radical expression. Assume all variables are positive.
1.
36x 4
2.
c80 d 50
3.
4
81x12
4.
3
64
5.
5
32k 5
6.
4
1 12
w
16
7.
4
m18 n8
8.
3
27 y15
9.
5
243r 20
Multiply or divide and simplify. Assume that all variables are positive.
10.
13.
3x 4 . 24 x3
80
5
11.
14.
3
4. 3 18
18 x 5 y
2x
12. 4 5a3  2 20a
3
15.
640w3 z 8
3
5wz 4
Simplify.
16. 2 7  3 7
17.
19. 3 18  2 72
20.

22. 2  5
3  5 
3
32  8
18.
81  2 3 375
21. 8 45  3 80


23. 6  7 1  7

7 x  28x


24. 3 5  2 3 5  2
Rationalize the denominators. Assume all variables are positive.
25.
5
2 3
3
28.
3
3 xy
49 y
2
26.
43 7
1 2 7
5
29.
4
2y
27.
10
30.
2
3y
2x
10 x5

Write each expression in exponential form.
6ab
31.
3
32.
5x9 y 2
4
33.
Simplify each expression. Write answers in simplest radical form.
1
2
1
4
1
5
1
2
35. 36  36
34. 81
1
37.
1
4
3x 4
38.
2
4 x  5x
15
 4 3 
36.  x 3 y 5 





39. 27x5 y 6
12 x 3
3

40. 32x
10
1
15 5
y


20
41. 32x y
1
10  5

 81 y16  4
42. 
12 
 16 x 
1
 16 x14  2
43. 
18 
 81 y 
44.
535
45.
6
x2
3
x5

1
3
9m2