Chapter 5 Review
Simplify. Assume that no variable equals 0.
1. y2 • y6 =
2.
x3
=
x5
3. (5x4)2 =
4.
36ab6c 3
=
9a2b5
5.
 4x y  3xy   =
3
2
4
6. Express 6,900,000 in scientific notation:
7. Express 5.3  10 6 in standard or decimal notation:
Simplify:
8. 3x2(4xy + 5x – 6y2)
9. (3x + 1) 2
10. (y – 3) (y + 3)
11. (6h + 2) – (3h + 4)
12. 4 x  2 x 1  3x2  5x  2 
Factor the polynomials:
13. x2 – 16x + 64
14. x2 – 2x – 24
15. 6x2 + 30
16. 36a2b – 24ab2
17. 16x2 – 81y4
________________________
18. x2 – 2x – 15
19. 12a 4  21a3
20. 5 x 3  25 x 2
Simplify:
50
21.
22. 5 3  3 12

23. 5  3
24.
3  3 
64x 4 y 6
Solve each equation.
25.
x 4
26. 2 x  6
27.
3y  2  4  0
28.
x2  2
Simplify:
29.
81
30. (-3i)2
31. (8  6i)  (2  4i)
32. (8 - 6i)(2 - 4i)
Remember: i  1 , i2  1