Simplify each expression. a) a 1 2 1 3 b 2 a 4 5 b b) 48 2(3 1) (5)2 62 Solution a) a 1 2 1 3 b 2 a 4 5 b a 3 6 2 6 b 2 a 4 5 a 5 6 b 2 a 4 5 b Add the fractions. 25 36 a 4 5 b Square 5 25 36 9 a 4 1 51 b Divide out common factors. 5 9 b) To simplify 48 2(3 1) (5)2 62 , fi rst simplify the numerator and then simplify the denominator. Numerator Denominator 48 2(3 1) (5)2 62 48 2(2) Subtract. 25 36 Evaluate the exponents. 48 4 Multiply. 25 (36) Change subtraction to addition. 44 Add. 11 Add. Numerator 44 Denominator 11 Now, replace the values in the numerator and denominator and divide. 48 2(3 1) (5)2 62 YOU TRY 5 Simplify each expression. a) a 1 4 5 6 b 2 a 3 2 b b) (2)4 9 3 11 5(4 7) 8 ANSWERS TO YOU TRY EXERCISES 1) a) (7)4 b) (2)5 2) a) 81 b) 1 81 b Get a common denominator. 5 6 . Multiply. 44 11 4 c) 8 3) (7)2 49; 72 49 4) a) 45 b) 64 c) 56 5) a) 49 216 b) 0 EXAMPLE 5 www.mhhe.com/messersmith SECTION 10.5 The Order of Operations 751
messersmith_power_basic_college_1e_ch4_7_10
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