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Official Guide to the GMAT 2017 Data Sufficiency #277
I have a question about question #277’s explanation in the GMAT official guide, page 309. It states as the formula for determining the answer to the question as whether “1 is greater than 10^2n,” and I don’t understand how they came up with that equation, although the main determination being whether or not n is negative does make sense to me mostly.
That said, I’d also like to know if the reason n being negative is crucial is due to the fact that in the case of a fraction with a denominator raised to a negative exponent that causes the fraction to flip, making (0.1)^n 10 and 10^n 1/10^n. Or would (0.1)^n turn into a 1 / 1/10^n? Could be crucial regardless I think but wanted to know how that works.