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SRW.Precalc2-ch01sec02 Student: ___________________________________________________________________________ 1. Write the radical expression using exponents.

A. B. C. D. E.

2. Write the exponential expression using radicals.

A.

B. C.

D. E.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

3. Write the exponential expression using radicals.

A. B.

C.

D. E.

4. Evaluate the expression.

A. B. C. D. E.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

5. Evaluate the expression.

A. B. C. D. E.

6. Evaluate the expression.

A. 3 B. 5 C. 6 D. 2 E. 4

7. Evaluate the expression.

A. 24 B. 10 C. 12 D. 72 E. 48

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

8. Evaluate the expression using

A. 6 B. 3 C. 0 D. 4 E. 7

9. Simplify the expression.

A. B. C. D. E.

10. Simplify the expression.

A. B. C. D. E.

and

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

11. Simplify the expression.

A.

B.

C. D.

E.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

12. Simplify the expression.

A.

B.

C. D.

E.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

13. Simplify the expression.

A.

B.

C.

D.

E.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

14. Simplify the expression.

A.

B.

C.

D.

E.

F.

G.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

15. Simplify the expression. Assume the letters denote any real numbers.

A. B. C. D. E.

16. Simplify the expression. Assume the letters denote any real numbers.

A. B. C. D. E.

17. Simplify the expression. Assume the letters denote any real numbers.

A. B. C. D. E.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

18. Simplify the expression.

Assume that x is a positive number.

A. B. C. D. E.

19. Simplify the expression.

Assume that b is a positive number.

A. B. C. D. E.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

20. Simplify the expression.

Eliminate any negative exponents. Assume that all variables are positive numbers.

A. B.

C. D.

E.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

21. Simplify the expression.

Eliminate any negative exponents. Assume that all variables are positive numbers.

A.

B.

C.

D.

E.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

22. Simplify the expression.

Eliminate any negative exponents. Assume that all variables are positive numbers.

A.

B.

C.

D.

E.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

23. Write the given number in scientific notation. 4,600,000,000,000 A. B. C. D. E.

24. Write the given number in scientific notation. 0.00000022963 A. B. C. D. E.

25. Write the number 0.007171 in scientific notation. A. B. C. D. E.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

26. Write the number

in decimal notation.

A. 583,000,000 B. 58,300 C. 5,830,000 D. 5.83 E. 58,300,000

27. Use scientific notation, the Laws of Exponents, and a calculator to perform the operation.

A. B. C. D. E.

28. Use scientific notation, the Laws of Exponents, and a calculator to perform the indicated operations. State your answer correct to the number of significant digits indicated by the given data.

A. B. C. D. E.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

29. The average ocean depth is , and the area of the oceans is volume of the ocean in liters? (One cubic meter contains 1000 liters.) A.

liters

B.

liters

C.

liters

D.

liters

E.

liters

. What is the total

30. Due to the curvature of the earth, the maximum distance D that you can see from the top of a tall building of height h is estimated by the formula

where r = 3,960 mi is the radius of the earth and D and h are also measured in miles. How far can you see from the observation deck of the tower, 965 ft above the ground?

A. B. C. D. E.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

31. The speed of water flowing in a channel, such as a canal of river bed, is governed by the Manning Equation

Here V is the velocity of the flow in ft/s; A is the cross-sectional area of the channel in square feet; S is the downward slope of the channel; p is the wetted perimeter in feet (the distance from the top of one bank, down the side of the channel, across the bottom, and up to the top of the other bank); and n is the roughness coefficient (a measure of the roughness of the channel bottom). This equation is used to predict the capacity of flood channels to handle runoff from heavy rainfalls. For the canal shown in the figure, A = 100 p = 32.4 ft, and n = 0.045.

Find the speed with which water flows through the canal. A. B. C. D. E.

32. Evaluate the expression using

,

and

________________________________________

.

, S = 0.055,

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

33. Due to the curvature of the earth, the maximum distance D that you can see from the top of a tall building of height h is estimated by the formula

where

mi is the radius of the earth and D and h are also measured in miles.

How far can you see from the observation deck of the Toronto CN Tower, 1,135 ft above the ground? Please give the answer to one decimal place.

________________________________________

34. Evaluate the expression.

(a)

(b)

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

35. Evaluate the expression.

(a)

(b)

36. Evaluate the expression.

(a)

(b)

(c)

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

37. Evaluate the expression.

(a) (b) (c)

38. Simplify the expression.

39. Simplify the expression.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

40. Simplify the expression.

41. Simplify the expression and eliminate any negative exponent(s).

42. Simplify the expression and eliminate any negative exponent(s).

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

43. Simplify the expression and eliminate any negative exponent(s).

44. Simplify the expression and eliminate any negative exponent(s).

45. Simplify the expression. Assume the letters denote any real numbers.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

46. Simplify the expression. Assume the letters denote any real numbers.

47. Simplify the expression and eliminate any negative exponent(s). Assume that all letters denote positive numbers.

48. Simplify the expression. Assume that all letters denote positive numbers.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

49. Simplify the expression and eliminate any negative exponent(s). Assume that all letters denote positive numbers.

50. Simplify the expression and eliminate any negative exponent(s). Assume that all letters denote positive numbers.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

51. Simplify the expression and eliminate any negative exponent(s). Assume that all letters denote positive numbers.

52. Write each number in scientific notation. (a) (b) (c) (d)

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

53. Write each number in decimal notation. (a) (b) (c) (d)

54. Use scientific notation, the Laws of Exponents, and a calculator to perform the indicated operations. State your answer correct to the number of significant digits indicated by the given data.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

55. Rationalize the denominator.

56. Rationalize the denominator.

57. Rationalize the denominator.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

58. A sealed room in a hospital, measuring 5 m wide, 8 m long, and 4 m high, is filled with pure oxygen. One cubic meter contains 1,000 L, and 22.4 L of any gas contains molecules (Avogadro's number). How many molecules of oxygen are there in the room? Please give the answer to three significant digits.

59. Police use the formula

to estimate the speed s (in mi/h) at which a car is traveling if it skids

feet after the brakes are applied suddenly. The number

is the coefficient of friction of the road, which is a

measure of the "slipperiness" of the road. The table gives some typical estimates for .

Dry Wet

Tar 1.0 0.5

Concrete 0.8 0.4

Gravel 0.2 0.1

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

(a) If a car skids 55 ft on dry gravel, how fast was it moving when the brakes were applied? Please round the answer to the nearest integer.

(b) If a car is traveling at 40 mi/h, how far will it skid on dry concrete? Please round the answer to the nearest foot.

60. A light-year, the distance that light travels in one year, is about 5,900,000,000,000 mi. The star Sirius is 8.6 light-years away. Express this distance in miles. Please give the answer to three significant digits. __________ miles

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

SRW.Precalc2-ch01sec02 Key

1. Write the radical expression using exponents.

A. B. C. D. E.

2. Write the exponential expression using radicals.

A.

B. C.

D. E.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

3. Write the exponential expression using radicals.

A. B.

C.

D. E.

4. Evaluate the expression.

A. B. C. D. E.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

5. Evaluate the expression.

A. B. C. D. E.

6. Evaluate the expression.

A. 3 B. 5 C. 6 D. 2 E. 4

7. Evaluate the expression.

A. 24 B. 10 C. 12 D. 72 E. 48

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

8. Evaluate the expression using

A. 6 B. 3 C. 0 D. 4 E. 7

9. Simplify the expression.

A. B. C. D. E.

10. Simplify the expression.

A. B. C. D. E.

and

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

11. Simplify the expression.

A.

B.

C. D.

E.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

12. Simplify the expression.

A.

B.

C. D.

E.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

13. Simplify the expression.

A.

B.

C.

D.

E.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

14. Simplify the expression.

A.

B.

C.

D.

E.

F.

G.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

15. Simplify the expression. Assume the letters denote any real numbers.

A. B. C. D. E.

16. Simplify the expression. Assume the letters denote any real numbers.

A. B. C. D. E.

17. Simplify the expression. Assume the letters denote any real numbers.

A. B. C. D. E.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

18. Simplify the expression.

Assume that x is a positive number.

A. B. C. D. E.

19. Simplify the expression.

Assume that b is a positive number.

A. B. C. D. E.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

20. Simplify the expression.

Eliminate any negative exponents. Assume that all variables are positive numbers.

A. B.

C. D.

E.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

21. Simplify the expression.

Eliminate any negative exponents. Assume that all variables are positive numbers.

A.

B.

C.

D.

E.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

22. Simplify the expression.

Eliminate any negative exponents. Assume that all variables are positive numbers.

A.

B.

C.

D.

E.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

23. Write the given number in scientific notation. 4,600,000,000,000 A. B. C. D. E.

24. Write the given number in scientific notation. 0.00000022963 A. B. C. D. E.

25. Write the number 0.007171 in scientific notation. A. B. C. D. E.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

26. Write the number

in decimal notation.

A. 583,000,000 B. 58,300 C. 5,830,000 D. 5.83 E. 58,300,000

27. Use scientific notation, the Laws of Exponents, and a calculator to perform the operation.

A. B. C. D. E.

28. Use scientific notation, the Laws of Exponents, and a calculator to perform the indicated operations. State your answer correct to the number of significant digits indicated by the given data.

A. B. C. D. E.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

29. The average ocean depth is , and the area of the oceans is volume of the ocean in liters? (One cubic meter contains 1000 liters.) A.

liters

B.

liters

C.

liters

D.

liters

E.

liters

. What is the total

30. Due to the curvature of the earth, the maximum distance D that you can see from the top of a tall building of height h is estimated by the formula

where r = 3,960 mi is the radius of the earth and D and h are also measured in miles. How far can you see from the observation deck of the tower, 965 ft above the ground?

A. B. C. D. E.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

31. The speed of water flowing in a channel, such as a canal of river bed, is governed by the Manning Equation

Here V is the velocity of the flow in ft/s; A is the cross-sectional area of the channel in square feet; S is the downward slope of the channel; p is the wetted perimeter in feet (the distance from the top of one bank, down the side of the channel, across the bottom, and up to the top of the other bank); and n is the roughness coefficient (a measure of the roughness of the channel bottom). This equation is used to predict the capacity of flood channels to handle runoff from heavy rainfalls. For the canal shown in the figure, A = 100 p = 32.4 ft, and n = 0.045.

Find the speed with which water flows through the canal. A. B. C. D. E.

32. Evaluate the expression using

5

,

and

.

, S = 0.055,

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

33. Due to the curvature of the earth, the maximum distance D that you can see from the top of a tall building of height h is estimated by the formula

where

mi is the radius of the earth and D and h are also measured in miles.

How far can you see from the observation deck of the Toronto CN Tower, 1,135 ft above the ground? Please give the answer to one decimal place.

41.3

34. Evaluate the expression.

(a)

(b)

; 16

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

35. Evaluate the expression.

(a)

(b)

;9

36. Evaluate the expression.

(a)

(b)

(c)

;

;

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

37. Evaluate the expression.

(a) (b) (c)

; 4; -4

38. Simplify the expression.

39. Simplify the expression.

40. Simplify the expression.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

41. Simplify the expression and eliminate any negative exponent(s).

42. Simplify the expression and eliminate any negative exponent(s).

43. Simplify the expression and eliminate any negative exponent(s).

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

44. Simplify the expression and eliminate any negative exponent(s).

45. Simplify the expression. Assume the letters denote any real numbers.

46. Simplify the expression. Assume the letters denote any real numbers.

47. Simplify the expression and eliminate any negative exponent(s). Assume that all letters denote positive numbers.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

48. Simplify the expression. Assume that all letters denote positive numbers.

49. Simplify the expression and eliminate any negative exponent(s). Assume that all letters denote positive numbers.

50. Simplify the expression and eliminate any negative exponent(s). Assume that all letters denote positive numbers.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

51. Simplify the expression and eliminate any negative exponent(s). Assume that all letters denote positive numbers.

52. Write each number in scientific notation. (a) (b) (c) (d) ;

;

;

53. Write each number in decimal notation. (a) (b) (c) (d) 931,000,000,000,000; 3,600,000,000; 0.00702; 0.00000009508

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

54. Use scientific notation, the Laws of Exponents, and a calculator to perform the indicated operations. State your answer correct to the number of significant digits indicated by the given data.

55. Rationalize the denominator.

56. Rationalize the denominator.

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

57. Rationalize the denominator.

58. A sealed room in a hospital, measuring 5 m wide, 8 m long, and 4 m high, is filled with pure oxygen. One cubic meter contains 1,000 L, and 22.4 L of any gas contains molecules (Avogadro's number). How many molecules of oxygen are there in the room? Please give the answer to three significant digits.

59. Police use the formula

to estimate the speed s (in mi/h) at which a car is traveling if it skids

feet after the brakes are applied suddenly. The number

is the coefficient of friction of the road, which is a

measure of the "slipperiness" of the road. The table gives some typical estimates for .

Dry Wet

Tar 1.0 0.5

Concrete 0.8 0.4

Gravel 0.2 0.1

Full file at http://testbank360.eu/test-bank-precalculus-5th-edition-stewa

(a) If a car skids 55 ft on dry gravel, how fast was it moving when the brakes were applied? Please round the answer to the nearest integer.

(b) If a car is traveling at 40 mi/h, how far will it skid on dry concrete? Please round the answer to the nearest foot.

18; 67

60. A light-year, the distance that light travels in one year, is about 5,900,000,000,000 mi. The star Sirius is 8.6 light-years away. Express this distance in miles. Please give the answer to three significant digits. __________ miles 5.07 x 10 13