exponents

When you say 10n is it 10*n or 10^n???

Please clarify

Not sure I understand this question at all. You say this is about exponents, so the last question from aatech needs to (??) be interpreted as 10^n

However, (2) doesn't make any sense. If n is an integer, then p cannot exist in that range

n 10^n 3.021*10^n
-----------------------------
0 1 3.021 (I know it says n is positive, just starting here)
1 10 30.21
2 100 302.1
3 1000 3021
4 10000 30210
5 100000 302100

Now, from this table, (1) makes sense. p has to fall below the value for 10^3 and 10^5, thus n = 4

Then, there are two things that is wrong with (2).
1 - There is no integer value that results in p in that range. This is therefore INVALID (not that it cannot be solved, but the given information does not match). If n no longer has to be an integer, then there are an infinite number of decimals that could result in that inequality.
2 - You have already said that p is within a different range. GMAT questions will always provide the SAME answer for n in this case. i.e. you may be answering whether it can be solved with two separate sets of information, but it still must result in the same answer.

Where is this question from? Maybe there are a number of typos to correct this problem. Overall, I see an answer for (1). And if you correct the (2) somehow, there is probably similar logic.

However, I don't want to say any answer is correct or wrong until I see the question properly.

I agree with zacharyz.

Statement 2 doesnt look right.

Statement 1 is SUFF:
n has to be 4 as zacharyz has pointed out ! So answer choices B, C, and E are ruled out. Answer choices A or D are the possible answer choices remaining.

Can you please get back to us on Statement 2. Where is this question from ?

Please reload the question.

Looks incorrect..