(10.2) 5) Evaluate. a) 80 1 b) 30 1 c) 91 1 9 d) 32 22 5 36 e) (6 11)3 125 6) Evaluate. a) (12)0 1 b) 50 40 2 c) 62 1 36 d) 24 1 16 e) 5x0 (x 0) 5 Rewrite the expression with positive exponents. Assume that the variables do not equal zero. 7) v9 1 v9 8) n1 1 n Simplify using the quotient rule. Assume that the variables do not equal zero. The answer should contain only positive exponents. 9) 38 36 9 10) 510 57 125 11) r11 r3 r8 12) m8 m2 m6 13) 29 215 1 64 14) 35 39 1 81 15) d 4 d10 d14 16) x3 x2 x5 17) h9 h3 1 h6 18) r4 r1 1 r3 (10.1–10.2) Mixed Exercises Simplify using one or more of the rules of exponents. Assume the variables do not equal zero. The answer should contain only positive exponents. 19) (2a5b2)3 8a15b6 20) w10 w4 w2 1 w8 21) a r 4 3 r3 b 64 22) a1 a6 1 a7 23) (8t7)(3t2) 24t9 24) (9 5)0 1 25) c5 c9 1 c4 26) (3xy8)3 27x3y24 27) 112 1 121 28) 42 23 3 16 (10.3) Write each number without an exponent. 29) 9.38 105 938,000 30) 9 103 9000 31) 6.7 104 0.00067 32) 1.05 106 0.00000105 Write each number in scientific notation. 33) 0.0000575 5.75 105 34) 36,940 3.694 104 35) 32,000,000 3.2 107 36) 0.0000004 4 107 Perform the operation as indicated. Write the final answer without an exponent. 37) 8 106 2 1013 0.0000004 38) (9 108)(4 107) 3.6 39) (5 103)(3.8 108) 40) 3 1010 4 106 7500 0.00019 Solve each problem. Write the answer in scientific notation. 41) Eight porcupines have a total of about 2.4 105 quills on their bodies. How many quills would one porcupine have? 3 104 quills 42) One molecule of water has a mass of 2.99 1023 g. Find the mass of 100,000,000 molecules. 2.99 1015 g (10.4) Identify each as a monomial, binomial, trinomial, or none of these. 43) 7x2 4x binomial 44) 5z8 monomial 45) 3a4 2a3 a2 4 46) n5 2n2 7 trinomial none of these 47) Identify each term in the polynomial, the coeffi cient and degree of each term, and the degree of the polynomial. 7s3 9s2 s 6 48) Evaluate 2r2 8r 11 for r 3. 31 Add or subtract as indicated. 49) (6c2 2c 8) (8c2 c 13) 2c2 c 5 50) (2m2 m 11) (6m2 12m 1) 4m2 13m 12 51) 3 1.4j 6.7j 2 j 5.3 3 5.7j 3.1j 2 2.4j 4.8 52) 9.8j 3 4.3j 2 3.4j 0.5 4.2p3 12.5p2 7.2p 6.1 1.3p3 3.3p2 2.5p 4.3 53) a3 5.5p3 15.8p2 9.7p 1.8 2 5 k 1 2 k 4b a 1 10 k 2 3 2 k 2b 1 2 k2 k 6 54) a2 7 u2 5 8 u 4 3 b a3 7 u2 3 8 u 11 12 b 5 7 u2 1 4 u 5 12 55) Subtract h4 8j 4 2 from 12h4 3j 4 19. 56) Find the sum of 6m 2n 17 and 3m 2n 14. 13h4 11j4 21 3m 4n 3 (10.5) Multiply. 57) 3r(8r 13) 24r2 39r 58) 5m2(7m2 4m 8) 35m4 20m3 40m2 59) (4w 3)(8w3 2w 1) 32w4 24w3 8w2 2w 3 60) (6y 1)(5y2 3y 4) 30y3 13y2 21y 4 61) (y 3)(y 9) y2 12y 27 62) ( f 5)( f 8) f 2 13f 40 806 CHAPTER 10 The Rules of Exponents and Polynomials www.mhhe.com/messersmith
messersmith_power_prealgebra_1e_ch4_7_10
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