Understanding Exponents 3 4 4 3 31 3

Understanding Exponents 3 4

4 3 31 3 3 3 x 3 x 3 3 2 4 3 Multiply 3 x 3 x 3 x 3 = 81 81

How would you write this problem using exponents? 1. 2 • 2 • 2 • 2 = 27 2. (-3)(-3) = (-3)4 3. a • a • a = a 8 4. a • m • a = a 4 m 3 5. p • 2 • r • r • p • 2 = 22 p 2 r 3

1. Evaluate each expression. 1. 34 3*3*3*3 2. 55 5*5*5 3. 103 10 * 10 81 3, 125 1, 000 4. 125 12 * 12 248, 832

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

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

Homework 4 -2 Evaluate. Name: ___________ 1. 54____ 2. 72____ 3. b 6, for b = 1 ____ 4. h 2 for h = 3 ____ 5. y 3 for y = 5 ____ Write each product in exponential form. 6. 3 • 3 • 3 ____ 7. k • k • k ____ 8. m • m ____ 9. g • g • h ____ 10. 7 • a • b • b ____ 11. 8 • m • n • 2 • m ____ 12. Express 256 as a power of 2 ____ Write each power as a product of the same factor. 13. 73 ____ 14. 28 and 44 ____ 15. 32 ____ 16. 79 ____ 17. 85 ____ 18. 124____

Complete the table Power Exponent Base 20 0 2 6 2 Standard Form 21 22 23 24 25 2 256