Mastering Exponents: Practice Problems and Solutions

1. Understanding Exponents Base Exponent 4 3 Power

2. 4 Exponential Form 3 3 1 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? 1. 2 • 2 • 2 • 2 • 2 • 2 • 2 = 27 2. (-3)(-3) (-3)(-3) = (-3)4 a8 3. a • a • a • a • a • a • a • a = 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. • 34 3 * 3 * 3 * 3 81 • 55 5 * 5 * 5 * 5 * 5 3,125 • 103 10 * 10 * 10 1,000 • 125 12 * 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. Homework 4-2 Name:______________________ Evaluate. Write each power as a product of the same factor. 1. 54________ 13. 73 ________ 2. 72________ 14. 28 and 44 ________ 3. b6, for b = 1 ________ 15. 32 ________ 4. h2 for h = 3 ________ 16. 79 ________ 5. y3 for y = 5 ________ 17. 85 ________ Write each product in exponential form. 18. 124________ 6. 3 • 3 • 3 • 3 ________ 7. k • k • k • k • k ________ 8. 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. Express 256 as a power of 2 ________

8. Complete the table