Evaluate. a) (5)3 b) a 1 2 b 4 c) (3)2 Solution a) (5)3 5 (5) (5) Multiply 5 by itself three times. 25 (5) 125 b) a 1 2 b 4 1 2 a 1 2 b a 1 2 b a 1 2 b Multiply 1 2 by itself four times. 1 4 a 1 2 b a 1 2 b 1 8 a 1 2 b 1 16 c) (3)2 3 (3) 9 16263 2 factors of 3 How can an objective from Section 2.6 help you to evaluate these problems more quickly? YOU TRY 2 Evaluate. a) (9)2 b) a 1 3 b 4 c) (2)3 2 Use the Order of Operations with Signed Numbers The order of operations applies to signed numbers. Let’s use the order of operations to determine whether (3)2 and 32 mean the same thing. Evaluate (3)2 and 32. Solution In Example 2c, we saw that (3)2 3 (3) 9 where the base is 3. 2 factors of 3 To evaluate 32, let’s use the order of operations. Because 32 does not contain parentheses, the base is 3, not 3. 32 1 32 1 9 Evaluate exponents before multiplying. 9 Multiply. Therefore, (3)2 9 but 32 9. EXAMPLE 2 Write down the order of operations. EXAMPLE 3 16263 www.mhhe.com/messersmith SECTION 10.5 The Order of Operations 749
messersmith_power_basic_college_1e_ch4_7_10
To see the actual publication please follow the link above