1. PRE-ALGEBRA

2. Lesson 4-8 Warm-Up

3. PRE-ALGEBRA How do you divide powers with the same base? Rule: When you divide numbers with the same base, subtract the exponents. Example: = a 2 a m = a m - n a n 1 1 a 4 = a · a · a · a a 2 = a · a 1 1 Exponents and Division (4-8)

4. PRE-ALGEBRA Simplify each expression. a.a. b.b. w 18 w 13 = 4 4 Simplify the exponent. = 256Simplify. = w 5 Simplify the exponent. 4 12 4 8 4 12 4 8 = 4 12 – 8 Subtract the exponents. = w 18 – 13 w 18 w 13 Subtract the exponents. Exponents and Division LESSON 4-8 Additional Examples

5. PRE-ALGEBRA Simplify each expression. a.a. (–12) 73 = 1 = (–12) 0 Simplify. b.b. 8s 20 32s 20 (–12) 73 = (–12) 73 – 73 Subtract the exponents. 1414 = 1Simplify s 0. 1414 =Multiply. 8 32 8s 20 32s 20 1414 =Subtract the exponents. Simplify.s0s0 Exponents and Division LESSON 4-8 Additional Examples

6. PRE-ALGEBRA Simplify each expression. a.a. 6 12 6 14 b.b. z 4 z 15 = 6 –2 6 12 6 14 = 6 12 – 14 Subtract the exponents. = 162162 Write with a positive exponent. 1 36 =Simplify. = z –11 z 4 z 15 = z 4 – 15 Subtract the exponents. = 1 z 11 Write with a positive exponent. Exponents and Division LESSON 4-8 Additional Examples

7. PRE-ALGEBRA Write without a fraction bar. a 2 b 3 ab 15 a 2 b 3 ab 15 = a 2 – 1 b 3 – 15 Use the rule for Dividing Powers with the Same Base. = ab –12 Subtract the exponents. Exponents and Division LESSON 4-8 Additional Examples

8. PRE-ALGEBRA Simplify each expression. x4x9x4x9 a. Simplify the exponents.= x –5 Rewrite using positive exponents. 1x5 1x5 = p 3 j –4 p –3 j 6 = p 6 j –10 Simplify. Rewrite using positive exponents. p 6 j 10 = b. = Subtract exponents when dividing powers with the same base. x 4 – 9 = Subtract exponents when dividing powers with the same base. p 3 – (–3) j –4 – 6 LESSON 4-8 Additional Examples Exponents and Division

9. PRE-ALGEBRA Simplify each expression. 1.2. 3.Write without a fraction bar. 75737573 –15b 5 c 3 60b 3 c 2 6n 14 3n 24 49 1414 – b 2 c 2n –10 Lesson Quiz Exponents and Division LESSON 4-8