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?
Evaluate each expression.
* 3 * 3 *
* 5 * 5 * 5 * ,125
* 10 * ,000
* 12 * 12 * 12 * 12
248,832

5. Remember!!!!!! Write each power as a product of the same factor.
Means to write the base as a factor x number of times (depends on the exponent).
Example: 32 = 3 * 3
Example: 106 = 10 * 10 * 10 * 10 * 10 * 10

6. Write numbers in exponential form means to write the factors as one factor with an exponent.
Example: 4 * 4 * 4 * 4 = 44
Example: 10 * 10 * 10 * 10 * 10 = 105

7. Name:______________________
Homework 4-2
Name:______________________
Evaluate.
Write each power as a product of the same factor.
1. 54________
________
2. 72________
and 44 ________
3. b6, for b = 1 ________
________
4. h for h = 3 ________
________
5. y3 for y = 5 ________
________
Write each product in exponential form.
________
6. 3 • 3 • 3 • 3 ________
7. k • k • k • k • k ________
8. m • m • m ________
9. g • g • g • g • h ________
• a • a • b • b • b ________
• m • n • n • 2 • m • m ________
12. Express 256 as a power of 2 ________

8. Complete the table Power Exponent Base Standard Form 20 2 21 22 23 242 21 22 23 24 25 6
256