10.2 Integer Exponents and the Quotient Rule What are your objectives for Section 10.2? How can you accomplish each objective? 1 Use 0 as an Exponent • Understand the defi nition of zero as an exponent, and write it in your notes. • Complete the given example on your own. • Complete You Try 1. 2 Use Negative Integers as Exponents • Understand the defi nition of negative exponent, and write it in your notes. • Complete the given examples on your own. • Complete You Trys 2 and 3. 3 Use the Quotient Rule for Exponents • Learn the property for the Quotient Rule for Exponents, and write an example in your notes. • Complete the given example on your own. • Complete You Try 4. Read the explanations, follow the examples, take notes, and complete the You Trys. So far, we have defi ned an exponential expression such as 23. The exponent of 3 indicates that 23 2 2 2 (3 factors of 2) so that 23 2 2 2 8. Is it possible to have an exponent of zero or a negative exponent? If so, what do they mean? 1 Use 0 as an Exponent Definition Zero as an Exponent: If a 0, then a0 1. How can this be possible? Let’s evaluate 20 23. Using the product rule, we get: 20 23 203 23 8 But we know that 23 8. Therefore, if 20 23 8, then 20 1. This is one way to understand that a0 1. EXAMPLE 1 In-Class Example 1 Evaluate. a) 30 b) 60 c) (4)0 d) 20(4) e) m0 f) 9d0 g) (3q)0 h) 30 80 Answer: a) 1 b) 1 c) 1 d) 4 e) 1 f) 9 g) 1 h) 2 Evaluate each expression. Assume that the variable does not equal zero. a) 50 b) 80 c) (7)0 d) 3(20) e) t0 f) 5k0 g) (11p)0 h) 90 70 776 CHAPTER 10 The Rules of Exponents and Polynomials www.mhhe.com/messersmith
messersmith_power_prealgebra_1e_ch4_7_10
To see the actual publication please follow the link above