48 CHAPTER R Review of Basic Concepts (d) a 3m5/6 y3/4 b 2a8y3 m6 b 2/3 = 9m5/3 y3/2 # 4y2 m4 Power rules = 36m5/3-4y2-3/2 Quotient rule = 36m-7/3y1/2 Simplify the exponents. = 36y1/2 m7/3 Simplify. S Now Try Exercises 95, 97, and 103. R.4 Exercises CONCEPT PREVIEWDetermine whether each statement is true or false. If false, correct the right side of the equation. 1. 50 = 1 2. y2 # y5 = y7 3. 1a223 = a5 4. 5-2 = 1 52 5. a 2 3b -2 = a 3 2b 2 6. a6 a4 = a-2 7. 13x22-1 = 3x-2 8. m2/3 # m1/3 = m2/9 CONCEPT PREVIEW Match each expression in Column I with its equivalent expression in Column II. Choices may be used once, more than once, or not at all. 9. I (a) 4-2 (b) -4-2 (c) 1-42-2 (d) -1-42-2 II A. 16 B. 1 16 C. -16 D. - 1 16 10. I (a) 5-3 (b) -5-3 (c) 1-52-3 (d) -1-52-3 II A. 125 B. -125 C. 1 125 D. - 1 125 Simplify each expression. See Example 1. 11. 1-4x5214x22 12. 13y421-6y32 13. n6 # n4 # n 14. a8 # a5 # a 15. 93 # 95 16. 42 # 48 17. 1-3m4216m221-4m52 18. 1-8t3212t621-5t42 19. 15x2y21-3x3y4) 20. 1-4xy3217x2y2 21. a 1 2 mnb18m2n22 22. 135m4n2a2 7 mn2b Simplify each expression. Assume all variables represent nonzero real numbers. See Examples 1–3. 23. 12225 24. 16423 25. 1-6x223 26. 1-2x525 27. -14m3n022 28. -12x0y423 29. a r8 s2 b 3 30. a p4 q b 2 31. a -4m2 tp2 b 4 32. a -5n4 r2 b 3 33. -a x3y5 z b 0 34. -a p2q3 r3 b 0
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