Rewrite each expression with only positive exponents. Assume that the variables do not equal zero. 23) d3 1 d 3 24) y7 1 y7 25) p1 1 p 26) a5 1 a5 27) w18 1 w8 28) n2 1 n2 29) 26 1 64 30) 43 31) 15 1 32) 92 1 64 1 81 33) 23 42 1 16 34) 52 22 29 100 35) 22 32 13 36 36) 41 62 2 9 37) 92 33 (7)0 38) 60 91 40 32 2 83 81 Objective 3: Use the Quotient Rule for Exponents State what is wrong with the following steps and then simplify correctly. 39) a5 a3 a35 a2 1 a2 You must subtract the denominator’s exponent from the numerator’s exponent; a2. 40) 43 4 a26 2 b 36 23 1 23 1 8 You must have the same base in order to use the quotient rule; 1. Simplify using the quotient rule. Assume that the variables do not equal zero. 41) 612 610 36 42) 44 4 64 43) 312 38 81 44) 27 24 8 45) 10 d d 5 d5 46) z11 z7 z4 47) m9 m5 m4 48) a6 a a5 49) 25 29 1 16 50) 95 97 1 81 51) 56 59 1 125 52) 84 86 1 64 53) 76 74 1 49 54) 102 103 100,000 55) 2 25 64 56) 35 31 1 81 57) y3 y8 1 y5 58) m4 m10 1 m6 59) t4 t t3 60) y8 y15 1 y7 61) x3 x6 1 x9 62) u20 u9 1 u11 63) t6 t3 1 t3 64) m9 m3 1 m6 65) a1 a9 1 a10 66) c7 c1 c8 67) k2 k5 1 k7 68) n10 n6 1 n4 69) w1 w6 w5 70) r3 r4 r R4) When do you add exponents? R5) When do you subtract exponents? R6) When do you multiply exponents? R7) In what other courses have you seen exponents used? R1) When evaluating an expression with negative exponents, when do you get a negative answer? R2) Explain the importance of correctly using the order of operations in this chapter. R3) How could you change a positive exponent to a negative exponent? 780 CHAPTER 10 The Rules of Exponents and Polynomials www.mhhe.com/messersmith
messersmith_power_prealgebra_1e_ch4_7_10
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