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das.ashmita
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Ashmita,
I would think the answer is D
Whenever an integer is raised to a lower power and that is greater than the same integer raised to a higher power I look for fractions and negative numbers.
In this case, since the question already mentions that a is an integer.
Statement 1 - If n is odd and a is a negative integer, then the negative integer raised to an even number will will be greater than the negative integer raised to an odd integer.
Sufficient.
Statement 2 - If n is even, you will have the left side smaller than the right handside. If you have n as odd, then you will have left side greater than the right hand side.
Sufficient.
Example
-2^2 < -2^6
-2^3>-2^9
REgards
Anup
