h) Remember to use the order of operations to simplify 90 50. That means we must fi rst evaluate the expressions with the exponents before we add. Putting It All Together Exercises Do the exercises, and check your work. Objective 1: Review the Rules of Exponents Simplify using the rules of exponents. Assume that the variables do not equal zero. The answer should contain only positive exponents. 1) a2 3 b 4 16 81 2) n9 n2 n11 3) 85 87 812 4) (22)3 64 5) (3c5d8)4 81c20d32 6) k10 k4 k6 7) c4 c10 c14 8) y8 1 y8 9) (9 4)2 25 10) (3 7)3 64 11) 92 1 81 12) 33 1 27 13) n2 1 n2 14) 219 213 64 15) a3 a11 a5 1 a3 16) (15p6)(3p2) 45p8 17) r9 r5 r4 18) 9h0 9 19) u4 u 1 u5 20) 5(xy)2 5x2y2 21) ah 4 b 3 h3 64 22) 37 311 1 81 23) 6(mn)3 6m3n3 24) v6 v1 v v6 25) 23 2 22 64 26) (2a7b4)3 8a21b12 27) 70 20 0 28) 30 50 2 29) (7 2)0 1 30) (3 5)0 1 31) (7t4)(6t9) 42t13 32) a11 a4 1 a7 33) x9 x6 1 x3 34) 72 103 49 1000 35) 42 121 1 48 36) t5 t6 t 37) 6w0 6 38) 32 23 17 72 39) 33 24 27 16 40) w2 w6 1 w8 ANSWERS TO YOU TRY EXERCISE 1) a) 49 c10 b) 1 w4 c) 81 100 d) 0 e) 32h5 f) 1 81 g) 54p11 h) z7 i) 1 16 90 50 1 1 2 i) To simplify 104 106 103, we must use the product rule and what we know about negative exponents. 104 106 103 1046(3) Apply the product rule. 101 Add the exponents. 1 10 Write with a positive exponent. YOU TRY 1 Simplify using the rules of exponents. Assume that the variables do not equal zero. The answer should contain only positive exponents. a) a 7 c5 b 2 b) w5 w12 w3 c) 34 102 d) 70 80 e) (2h)5 f) 92 g) (6p3)(9p8) h) z2 z9 i) 27 211 Use the order of operations! www.mhhe.com/messersmith Putting It All Together 783
messersmith_power_prealgebra_1e_ch4_7_10
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