The document explains exponents and provides examples of writing expressions using exponents. It includes problems for students to solve involving evaluating expressions with exponents for given values of variables and writing expressions using exponents.

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
) ________