1. Understanding Exponents
3
4

2. 3
4
3 x 3 x 3 x 3
81
Multiply 3x3x3x3 = 81
3 1 3
3
3
4
3
2

3. How would you write this problem
using exponents?
1. 2 • 2 • 2 • 2 • 2 • 2 • 2 =
2. (-3)(-3) (-3)(-3) =
3. a • a • a • a • a • a • a • a =
4. a • m • m • a • m • a • a =
5. p • 2 • r • r • r • p • 2 =
27
(-3)4
a8
a4
m3
22
p2
r3

4. 1. 4( 3 + 2)2
=
2. 2 • 52
+ 4 • (-3)=
3. 2x3
+ 4y (x = -2 ; y = 3)
4. 3(a)2
+ 6 ( a = 5)
5. -a4
(a = 2)
6. (-a)4
(a = 2)
4(5)2
4(5•5) 4(25) =100
-62
192
81
-16
16

5. Homework 4-2 Name:______________________
Solve each Problem
1. m4
, for m = 5 ________
2. -(2p)2
, for p = 7 ________
3. b6
, for b = -1 ________
4. (6 + h2
)2
, for h = 3 ________
5. y3
- 2y2
+ 3y - 4, for y = 5 ________
Write using Exponents
6. 3 • 3 • 3 • 3 ________
7. k • k • k • k • k ________
8. (-9)(-9)(-9)m • m • m ________
9. g • g • g • g • h ________
10. 7 • a • a • b • b • b ________
11. -8 • m • n • n • 2 • m • m ________
12. d • (-3) • e • e • d • (-3) • e ________
Simplify each Expression
13. (-2)3
and -23
________
14. 28
and 44
________
15. 3(8 - 6)2
________
16. (-2)(-5)2
(3) ________
17. (17 - 3)2
÷(42
- 32
) ________
18. 43
÷ (25
- 42
) ________

6. Homework 4-2 Name:______________________
Solve each Problem
1. m4
, for m = 5 ________
2. -(2p)2
, for p = 7 ________
3. b6
, for b = -1 ________
4. (6 + h2
)2
, for h = 3 ________
5. y3
- 2y2
+ 3y - 4, for y = 5 ________
Write using Exponents
6. 3 • 3 • 3 • 3 ________
7. k • k • k • k • k ________
8. (-9)(-9)(-9)m • m • m ________
9. g • g • g • g • h ________
10. 7 • a • a • b • b • b ________
11. -8 • m • n • n • 2 • m • m ________
12. d • (-3) • e • e • d • (-3) • e ________
Simplify each Expression
13. (-2)3
and -23
________
14. 28
and 44
________
15. 3(8 - 6)2
________
16. (-2)(-5)2
(3) ________
17. (17 - 3)2
÷(42
- 32
) ________
18. 43
÷ (25
- 42
) ________