1.

 Quantity A Quantity B \frac {{ 2 }^{ 30 }-{ 2 }^{ 29 }}{ 2 } { 2 }^{ 28 }

2.

 Quantity A Quantity B { 3 }^{ x+1 } { 4 }^{ x }

3.  x and m are positive numbers, and m is a multiple of 3.

 Quantity A Quantity B \frac {{ x }^{ m }}{{ x }^{ 3 }} { x }^{ m/3 }

4.  If n={ 2 }^{ 3 } then { n }^{ n }= 

(A) { 2 }^{ 6 }
(B) { 2 }^{ 11 }
(C) { 2 }^{ 18 }
(D) { 2 }^{ 24 }
(E) { 2 }^{ 27 }

5. s and t are positive integers, and { 32 }^{ s }={ 2 }^{ t }

 Quantity A Quantity B \frac{ s }{ t } \frac{ 1 }{ 5 }

6.   Given the system { x }^{ 2 }=4, { y }^{ 3 }=-8, which of the following is NOT necessarily true?

(A) y < 0
(B) x < 5
(C) y is an integer
(D) x > y
(E) xy is an integer

7.

 Quantity A Quantity B x{ ({ x }^{ 2 }) }^{ 4 } { ({ x }^{ 3 }) }^{ 3 }

8. If x < 0 and y is 5 more than the square of x, which one of the following expresses x in terms of y?

(A) x =\sqrt{ y-5 }
(B) x =-\sqrt{ y-5 }
(C) x =\sqrt{ y+5 }
(D) x =\sqrt{ { y }^{ 2 }-5 }
(E) x =-\sqrt{ { y }^{ 2 }-5 }

9.   A perfect square is a positive integer which when square rooted results in an integer. If N = { 3 }^{ 4 }*{ 5 }^{ 3 }*7, then what is the biggest perfect square that is a factor of N ?

(A) { 3 }^{ 2 }
(B) { 5 }^{ 2 }
(C) { 9 }^{ 2 }
(D) { (9*5) }^{ 2 }
(E) { (3*5*7) }^{ 2 }

10.  If p ={ 216 }^{ -1/3 }+{243 }^{ -2/5 }+{256 }^{ -1/4 }, then which one of the following is an integer?

(A) p/19
(B) p/36
(C) p
(D) 19/p
(E) 36/p

11.  In which one of the following choices must p be greater than q?

(A) { 0.9 }^{ p }={ 0.9 }^{ q }
(B) { 0.9 }^{ p }={ 0.9 }^{ 2q }
(C) { 0.9 }^{ p }>{ 0.9 }^{ q }
(D) { 9 }^{ p }<{ 9 }^{ q }
(E) { 9 }^{ p }>{ 9 }^{ q }

12. If { 3 }^{ 2 }{ 9 }^{ 2 }={ 3 }^{ x }, what is x?

(A) 2
(B) 3
(C) 4
(D) 5
(E) 6

13. 80 is divisible by { 2 }^{ x }

 Quantity A Quantity B x 3

14.  For what positive integer is the square of the integer divided by the cube root of the integer equal to nine times the integer?

(A) 4
(B) 8
(C) 16
(D) 27
(E) 125

1 C
2 D
3 D
4 D
5 C
6 D
7 C
8 B
9 D
10 D
11 E
12 E
13 D
14 D