Expert: Richard J. Raridon - 7/25/2010

Question
16. Simplify:

[(-5^-1)(2^-2)]^2

a)0.0010  b)2,500
c)0.0025  d)0.025

17. Simplify:

6xy^-1/ 2x^-2y^-1

a)3x    b)3x^3

c)3/x   d)-3/x^3

 

18. Simplify:

(3x^-2y"the y isnt squared")^-1/ (2xy^-2)^0

a)3xy          b)3y/x^2

c)1/3x^2y      d)x^2/3y


19. Simplify:

[2pq^-1]^-1
_____________ "his line means division"
   4q^2 ^-1
 
a) 2/pq         b)8pq^3

c)p/2q          d) 2q^3/p

20. Simplify:

(ax^2)^-1
__________ "this line means divided by"
a^-2x^-2

a)a      b)1/a
c)ax     d)ax^2
21. Replace the ? with a polynomial to make a true statement:

2x^-2 + x^-1-3 = x^-2 (?)

a)2 - x - 3x^2    b)2 + x - 3x^2
c)2 + x + 3x^2     d)-1 + x

22. Write in scientific notation:

106,000

a)1.06 x 10^5  b)10.6 x 10^5
c)10.6 x 10^4  d)1.06 x 10^-5

23. Write in scientific notation:

762.20

a)76.220 x 10^1  b)0.76220 x 10^3
c)7.6220 x 10^2  d)7.622 x 10^-2

24. Write in scientific notation:

0.0000460

a)0.46 x 10^-4  b)4.60 x 10^-5
c)4.6 x 10^-4   d)460 x 10^-5

25. Write in scientific notation:

0.025 x 10^-2

a)2.5 x 10^-4  b)25x 10^-3
c)2.5 x 10^4   c)25 x 10^3

26. Write in scientific notation:

0.04775

a)4.775 x 10^1  b)4.775 x 10^-1
c)47.75 x 10^2  d)4.775 x 10^-2

27. Write in decimal form:

10^-4

a)1,000    b)100
c)0.00001  c)0.0001

28. Write in decimal form:

10^7

a)1,000,000  b)0.0000001
c)10,000,000 d)10,000

29. Write in decimal form:

6.20 x 10^-2

a)620    b)0.0620
c)0.620  d)6.20

30. Simplify:

(7.5 x 10^6)(5.0 x 10^-1)
_________________________
1.5 x 10^8  

a)2.5 x 10^2  b)2.5 x 10^-14
c)2.5 x 10^-2 d)2.5 x 10^7

31. The estimated masses of a proton and an electron are 1.67 x 10^-24 grams and 9.11 x 10^-28 grams, respectively.  Find the ratio to three significant digits of the mass of the proton to the mass of the electron.

32. A steady current of 1 ampere flowing through a solution of silver nitrate will deposit 1.12 x 10^-3 grams of silver in 1 second.  How much silver will be deposited by 12.0 amperes in one hour? Write your answer with three significant digits.

1.12 x10  -3x x 12 = 0.01344 "my answer"

33. What is the product of a X 10^b when b = 0
x "my answer"
34. Simplify the expression using positive exponents.

-2a^6b^-5
6c^-3b^-4a^2  


35. Find the value of the expression and write it in decimal form:

(4.6 X 10^-2) X (1.5 X 10^-1)

Answer
16. c
17. b
18. d
19. d
20. a
21. b
22. a
23. c
24. b
25. a
26. d
27. c
28. b
29. b
30. b
31. 1830
32. Never use x to indicate multiplication.  You forgot 1 hr = 3600s
(1.12x10^-3)(12)(3600) = 484
33. okay
34. -2a^6/b^5, 6a^2/(c^3b^4)
35. 0.0069
Ordinarily, I wouldn't answer that many questions for one person, but most of these were simple enough that I could do them in my head.