Evaluate (7)2 and 72. When simplifying an exponential expression containing a signed number, remember the difference between having parentheses in the expression and not having parentheses. Example: (3)2 3 (3) 9 The base is 3. Multiply 3 by itself two times. The base is 3. Evaluate the exponent before multiplying. 1462643 2 factors of 3 32 1 32 1 9 9 Let’s evaluate other expressions using the order of operations. Simplify each expression using the order of operations. a) 10 4 7 3 b) 5164 2(6 15) c) 62 (9) (2)3 Solution a) 10 4 7 3 10 28 3 Multiply before adding or subtracting. 18 3 Perform operations from left to right. 15 Add. b) 5164 2(6 15) 5164 2(9) Perform the operations in parentheses fi rst. 5(8) 2(9) Evaluate the square root. 40 (18) Multiply. 40 (18) Change subtraction to addition of the additive inverse. 22 Add. c) 62 (9) (2)3 36 9 (8) Evaluate exponents fi rst. 62 1 62 1 36 36 (2)3 2 (2) (2) 8 4 (8) Divide. 4 (8) Change subtraction to addition of the additive inverse. 4 Add. YOU TRY 3 Don’t forget to review this box! EXAMPLE 4 YOU TRY 4 Simplify each expression using the order of operations. a) 13 8 7 2 b) 7(5 9) 9116 c) 42 2 (4)3 Next we will simplify some expressions involving fractions. 750 CHAPTER 10 Signed Numbers www.mhhe.com/messersmith
messersmith_power_basic_college_1e_ch4_7_10
To see the actual publication please follow the link above