Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
EXERCISES A Practice by Example For more practice, see Extra Practice. Write each expression using a single exponent. Example 1 (page 383) 1. A 3 3 B 7 Example 2 (page 384) Algebra 5. A w-2 B -6 3. A h2 B 2 6. A -7 2 B 9 7. A p-2 B -1 Simplify each expression. 9. (3x)2 13. (abc)5 Example 3 (page 384) 2. A 9 2 B -5 10. A y ? y 2 B 5 14. A 10x 5 B 2 11. A 2x 2 B 4 15. A 10 5w B 2 Write each answer in scientific notation. 4. A y-3 B -4 8. A r 2 B 3 12. A a 2b 3 B 4 16. A y 2 ? 10 2 B 4 17. Geometry Find the area of a square whose side is 7.1 3 10 3 centimeters. 18. Geometry Find the area of a circle with a radius of 4 3 10-6 inches. Use the formula A 5 pr2 and 3.14 for p. B Apply Your Skills Use R, S, or 5 to complete each statement. 19. 5 5 j A5 3 B 2 20. 8 2 ? 8 6 j A8 2 B 2 21. A5 3 B0 j 5 3 ? 5-3 25. 4 5 ? 4 6 j A4 5 B 6 26. (-3)4 j -3 4 27. (3 ? 4)7 j 12 7 22. A5 3 B 5 j 5 8 23. A 7-3 ? 7 5 B 3 j A7 2 B 6 24. 0 12 j 12 0 28. Computers A megabyte is 2 20 bytes. Use exponents to write 2 20 in four different ways. 29. Writing in Math Explain how multiplying powers with the same base is different from raising a power to a power. 30. Volcanoes A subdivision of the Kilauea Volcano in Hawaii erupted in 1967 and produced about 320,000 cubic meters of lava per day. Find the total amount of lava produced if the eruption lasted about 8.3 months. Assume there are 30 days in a month. Write each expression using a single exponent. 31. A 2 1 ? 2 2 ? 2 3 B 2 34. A y ? y5 ? y10 B 2 32. A 3-2 ? 3-1 ? 30 B -3 35. A a ? 10-1 B 5 33. A A 5 2 B 3 B 2 36. A A m1 B 2 B 4 37. Error Analysis Beth thinks you can write x2 + x2 as 2x2. Clarissa thinks you can write x2 + x2 as x4. Who is correct? Why? 38. Data File, p. 363 Write 2.3 megawatts in watts using standard form. Simplify each expression. 39. A ab B c 40. A 3u2 B x 42. Reasoning Does (2 + 3)2 = 2 2 + 3 2? Explain. 41. A 5a ? 6b B x 7-4 Power Rules 385-386 C Challenge 43. A positive number is squared and the result is 25 16. Find the number, and write it as a power. 44. Biology The diameter of a human eyebrow hair is 8.0 3 10-5 m. Find the area of a cross section of an eyebrow hair. Use the formula A = pr 2 and 3.14 for p. 45. Astronomy On January 1, 2004, Pluto will be about 2.9 3 10 9 miles from Earth. Light travels about 1.86 3 10 5 miles per second. Find how many hours it will take light to travel from Pluto to Earth. 46. Stretch Your Thinking Arrange these numbers from least to greatest: 4 2 222, A 2 22 B 2, (4) 4 , A 4 4 B 44 Test Prep Multiple Choice 47. Find A 3.51 3 10-4 B 0. A. 3.51 3 10-40 B. 0 C. 1 D. 3.51 48. The base of a crystal is a square with sides that measure 3 3 10-2 mm. Find the area of the base in square millimeters. F. 3 3 10-4 G. 9 3 10-4 H. 9 3 10-2 I. 9 3 10-1 Take It to the NET Online lesson quiz at www.PHSchool.com Web Code: aca-0704 Extended Response 49. Which number is equal to 0.0625? A. 4 3 10-2 B. A 2-2 B 2 C. 6.25 3 10-1 50. Which number is greater than (35 3)7? F. 35 10 G. 35 21 H. A 35 7 B 3 D. A 4-2 B -1 I. 35 37 51. A square has a side length of 7 3 10-3 m. Find the perimeter and the area of the square. Write each answer in scientific notation. Explain your work. Mixed Review Lesson 7-2 Algebra Write each expression using a single exponent. 52. 15 20 ? 15 2 Lesson 6-9 53. z2 ? z12 54. m 10 ? m 20 Express each probability as a fraction and as a percent. 55. A letter chosen at random from the word V I D E O is a vowel. 56. An integer chosen at random from the numbers 1 to 10 is prime. Lesson 6-1 Write each percent as a fraction in simplest form. 57. 20% 385-386 Chapter 7 Exponents and Powers 58. 33 13% 59. 1.75%