Mathematics > Standard Multiple Choice
Read the following SAT test question and then click on a button to select your answer.
What is the largest possible integer value of 
for which 
divides 
?
(A) 2
(B) 7
(C) 9
(D) 10
(E) 14
The correct answer is E
Explanation
Choice (E) is correct. Since 
, it follows that 
. Applying the laws of exponents to the preceding equality yields 
. From this representation of 
, it follows that 
divides and that 14 is the largest value of for which divides .