Division Properties of Exponents

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Page 4 of 7GUIDED PRACTICEVocabulary Check ✓Concept Check ✓Skill Check ✓41. The expression a a6 can be simplified by using the ? property.x 82. Can be simplified? Explain your answer.y3Use the quotient of powers property to simplify the expression.3. 5 451 4. 7 65a m79 5. 126. a9m117. a 5 8. ( 8º 2) 9. 53 • 5 5x 10.7 • x239a( º 2)5xº2Use the power of a quotient property to simplify the expression.11. 1 2 5 12. 3 5 3 13. m5 2 14. 2 b 415. 5 4 º3 x16. 4 23 2 17. x 3 6 y 5 18. a 6b9 5PRACTICE AND APPLICATIONSSTUDENT HELPExtra Practiceto help you masterskills is on p. 804.EVALUATING EXPRESSIONS Evaluate the expression. Write fractions insimplest form.19. 5 653 20. 8 381 21. (º 693)( º 3) 22. 6º 3(9º 3)3323. 3º 4 24. 83 •58 25. 5 •5 26. 3 84 28 227. 6 2 3 28.º 2 3 3 29.º 3 5 2 30. 9 6 º15 4SIMPLIFYING EXPRESSIONS Simplify the expression. The simplifiedexpression should have no negative exponents.31. 4 32. x 431 33. 5x 5 34. x 3 1• x xa8 36. 37. º1 º2 m38.3 • m 9 5a5y3m239. 40. 41. 3 3 3(r 3 ) 4º6x 2 y2x 3 y 416xy 42. (r3 ) 8 º35. x 5 • x12xy3 xy 2 3xy22xy • º 34xy–– 1xSTUDENT HELPHOMEWORK HELPExample 1: Exs. 19–50Example 2: Exs. 19–48Example 3: Exs. 31–50Example 4: Exs. 51–59Example 5: Exs. 60, 613 3y43. 4 x2x y• 5 x2 y5º8y 28 b 244. 36 a 6 •aba º1b 23 2 4 6x º2 y 246. • xyº345. 16 x7x y4y• x y(4x 2 y) 8 xy º2xy25x 2xy47. • 48. º3 y 2 (2xy 3 ) º2º2 y 4 º2 4xy • xyx 5 3x º1 2xº 1y º1 y 2y º3466 Chapter 8 Exponents and Exponential Functions
Page 5 of 7ERROR ANALYSIS In Exercises 49 and 50, find and correct the errors.349.6 3 ÷ 6= 6 50.6=1 3=1– 9 = xx––9 – 3x3= x –121= x– 1251. EARTH AND MOON The volumeof a sphere is given by V = 4 3 πr3 , wherer is the radius of the sphere. Assumingthat the radius of the Moon is 1 4 the radiusof Earth, find the ratio of the volume ofEarth to the volume of the Moon. Let rrepresent the radius of Earth.Not drawn to scaleMoonEarthr52. RETAIL SALES From 1994 to 1998,the sales for a national clothing storeincreased by about the same percenteach year. The sales S (in millions ofdollars) for year t can be modeled byS = 3723 6 5 twhere t = 0 corresponds to 1994. Findthe ratio of 1998 sales to 1995 sales.Sales(millions of dollars)S70006000500040003000200010000 01 2 3 4 tYears since 1994ATLANTIC CODAdult Atlantic codaverage about 3 feet inlength and weigh from 10 to25 pounds, though some maygrow much larger.REALFOCUS ONAPPLICATIONSLIFE53. BASEBALL SALARIES The average salary for a professional baseballplayer in the United States can be approximated by y = 283(1.2) t , wheret = 0 represents the year 1984. Using this approximation, find the ratio of anaverage salary in 1988 to an average salary in 1994.ATLANTIC COD In Exercises 54–56, use the following information.The average weight w (in pounds) of an Atlantic cod t years old can bemodeled by the equation w = 1.16(1.44) t . Source: National Marine Fisheries Service,Northeast Science Center54. Find the ratio of the weight of a 5-year-old cod to the weight of a 2-year-oldcod. Express this ratio as a power of 1.44.55. A 5-year-old cod weighs how many times as much as a 2-year-old cod?56. According to the model, what is the average weight of an Atlantic cod whenit is hatched? How did you get your answer?57. SALES From 1995 through 1999, the sales for a national furniture storeincreased by about the same percent each year. The sales s (in millions ofdollars) for year t can be modeled by s = 476(1.13) t , where t = 0 represents1995. Find the ratio of 1997 sales to 1999 sales.8.3 Division Properties of Exponents 467
Page 2 and 3: Page 2 of 7EXAMPLE 2Using the Power
Page 6 and 7: Page 6 of 7ROWING Shellswith 4 or 8

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