1. Understanding Exponents
Base
Exponent 4 3
Power

2. Exponential Form Expanded Form Standard Form4
Exponential Form 3 1 3 3 3
Expanded Form 3 x 3 x 3 x 3 2 4 3 3
Multiply 3x3x3x3 = 81
Standard Form 81

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

4. Can you solve these Problems?
1. 4( 3 + 2)2 =
4(5)2
4(5•5)
4(25)
=100
• • (-3)=
-62
2x3 + 4y (x = -2 ; y = 3)
192
4. 3(a) ( a = 5) 81
-a4 (a = 2)
-16
6. (-a)4 (a = 2) 16

5. Name:______________________
Homework 4-2
Name:______________________
Solve each Problem
Simplify each Expression
1. m4, for m = 5 ________
13. (-2)3 and -23 ________
2. -(2p)2, for p = 7 ________
and 44 ________
3. b6, for b = -1 ________
15. 3(8 - 6)2 ________
4. (6 + h2)2, for h = 3 ________
16. (-2)(-5)2(3) ________
5. y3 - 2y2 + 3y - 4, for y = 5 ________
17. (17 - 3)2 ÷( ) ________
÷ ( ) ________
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 ________
• a • a • b • b • b ________
• m • n • n • 2 • m • m ________
12. d • (-3) • e • e • d • (-3) • e ________