AlgebraIIChapter6.12345Review
1.Findalltherealsquarerootsof1.44
!
2.Findtherealcuberootof− !"
3.Findtherealfourthrootof-1296
Simplify.
4. 25x 6 8. 4
5. 3 343x9 y12 6. 4 16x16 y 20 ( y − 4)8
( z + 9)4
9.
15x ⋅ 35x
10. 3 50 y 2 ⋅ 3 20 y
11. 3 36 x2 y5 ⋅ 3 −6 x2 y
13. −3 9 x5 y 2 ⋅ 3 2 x2 y5
14.
12. 5 7 x3 y ⋅ 28 y 2
3( 12 − 21)
Rationalize the denominator.
15.
5
x
16.
3
6ab2
3 4
2a b
17.
3 x5
5y
21.
4 9y
4x
18.
10 xy 3
12 y 2
19.
3
4 k9
3
16 k 5
20.
4 10
4 2
z
19a 2b
22. 3
abc 4
Simplify.
23. 150 − 24
24. 3 135 + 3 40
25. 6 3 − 75
AlgebraIIChapter6.12345Review
26. 53 2 − 3 54
27. − 48 + 147 − 27
28. 83 3x − 3 24 x + 3 192 x
Simplify. Rationalize all denominators.
29. (3 + 6)(3 − 6)
2 3 +1
5− 3
30.
31. (4 6 − 1)( 6 + 4)
32.
2− 7
2+ 7
33. (2 8 − 6)( 8 − 4)
34.
5
2+ 3
Simplify.
35. (16x
3
−8 4
)
1
15 − 3
36. (8x
)
1
⎛ x2 ⎞3
37. ⎜ −10 ⎟ ⎝x ⎠
1
2
38. ( x + 2) = 10 − x
39. 2 5 5 x + 2 − 1 = 3
40.
41.
7 x − 6 − 5x + 2 = 0
3
8x − 3 6x − 2 = 0