GeminiHeat wrote:
If \(n\) is a non-negative integer such that \(12^n\) is a divisor of 3,176,793, what is the value of \(n^{12}-12^n\)?
A. -11
B. -1
C. 0
D. 1
E. 11
First notice the
big hint right from the start:
n is a non-negative integerYour first reaction should be "
Why not just tell us that n is positive?"
The reason is that the test-maker wants to include zero as a possible value for n (and zero is neither positive nor negative).
Since the test-maker went to the trouble to keep zero as a possible value for n, let's check to see whether n =
0 works.
Well, 12^
0 = 1, and 1
is a divisor of 3,176,793. So n must equal
0.
Now that we know the value of n, we can evaluate n^12 - 12^n
n^12 - 12^n =
0^12 - 12^
0 = 0 - 1
= -1
Answer: B
Cheers,
Brent