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Good problem- Exponents

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by venmic » Sat Jun 11, 2011 5:34 pm
This is a good problem to solve try it

If n is a non-negative integer such that 12n is a divisor of 3,176,793, what is the value of n12 - 12n ?

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Answer -1
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by cans » Sat Jun 11, 2011 6:38 pm
12^n is divisor of 3176793
12 is even number, and 3176793 is odd
thus 12^n should be 1 (and thus n=0)
n^12 - 12^n = -1
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Cans!!
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by tomada » Sun Jun 12, 2011 9:04 am
Why is that a good problem?

venmic wrote:This is a good problem to solve try it

If n is a non-negative integer such that 12n is a divisor of 3,176,793, what is the value of n12 - 12n ?

- 11

- 1

0

1

11

Answer -1
I'm really old, but I'll never be too old to become more educated.
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by Ozlemg » Sun Jun 12, 2011 1:36 pm
i spent 15 mins for this question because it is not understandable from the question stem that 12.n is explonantial!! so it is NOT 12n but 12^n.

I got the correct version from "cans" reply post...
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by smackmartine » Sun Jun 12, 2011 3:25 pm
Ozlemg wrote:i spent 15 mins for this question because it is not understandable from the question stem that 12.n is explonantial!! so it is NOT 12n but 12^n.

I got the correct version from "cans" reply post...
You are right. I wonder how Cans deciphered 12n as 12^n ?
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by venmic » Sun Jun 12, 2011 5:47 pm
because there are few who may get it right and there are those who may find it difficult
it is for the latter ... so you can ignore

tomada wrote:Why is that a good problem?

venmic wrote:This is a good problem to solve try it

If n is a non-negative integer such that 12n is a divisor of 3,176,793, what is the value of n12 - 12n ?

- 11

- 1

0

1

11

Answer -1
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by smackmartine » Sun Jun 12, 2011 6:54 pm
Posting the question correctly:

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 ?
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by voodoo_child » Sun Jun 12, 2011 7:22 pm
How can 12^n (n=+ve number) be a divisor of ____3, an odd number ? :( I am not sure whether the question makes sense. The only possible value that I see is n=0. but n is non-negative number...
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by edvhou812 » Sun Jun 12, 2011 8:49 pm
venmic wrote:This is a good problem to solve try it

If n is a non-negative integer such that 12n is a divisor of 3,176,793, what is the value of n12 - 12n ?

- 11

- 1

0

1

11

Answer -1
I don't like to sound like a jerk, but this question was typed out in a very confusing way. I assumed 12n = 12*n. I'm not sure people can learn and posters can benefit when questions are not correctly retyped.
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by smackmartine » Sun Jun 12, 2011 10:40 pm
voodoo_child wrote:How can 12^n (n=+ve number) be a divisor of ____3, an odd number ? :( I am not sure whether the question makes sense. The only possible value that I see is n=0. but n is non-negative number...
"0" is neither positive nor negative integer.
"0" is a non-negative integer.
"0" is also a non-positive integer.
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