Please help explain the answers to the following practice questions:
1. If [(1/5)^m *(1/4)^18] = [1/(2(10)^35)], what is the value of m?
A. 17
B. 18
C. 34
D. 35
E. 36
2. If (2^x) - (2^(x-2)) = (3(2^13)), x=?
A. 9
B. 11
C. 13
D. 15
E. 17
3. A perimeter of a certain isosceles right triangle is 16+(16 Sq root 2), what is the length of the hypotenuse?
A. 8
B. 16
C. 4 Sqrt 2
D. 8 Sqrt 2
E. 16 Sqrt 2
4. If n is a positive integer and the product of all the integers from 1 to n, is a multiple of 990, what is the least possible value of n?
A. 10
B. 11
C. 12
D. 13
E. 14
OA: 1 (D); 2 (D); 3 (B); 4 (B)
1. If [(1/5)^m *(1/4)^18] = [1/(2(10)^35)], what is the value of m?
A. 17
B. 18
C. 34
D. 35
E. 36
2. If (2^x) - (2^(x-2)) = (3(2^13)), x=?
A. 9
B. 11
C. 13
D. 15
E. 17
3. A perimeter of a certain isosceles right triangle is 16+(16 Sq root 2), what is the length of the hypotenuse?
A. 8
B. 16
C. 4 Sqrt 2
D. 8 Sqrt 2
E. 16 Sqrt 2
4. If n is a positive integer and the product of all the integers from 1 to n, is a multiple of 990, what is the least possible value of n?
A. 10
B. 11
C. 12
D. 13
E. 14
OA: 1 (D); 2 (D); 3 (B); 4 (B)
