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Given that (3)^(a-b) = 1/81 [#permalink]
30 Aug 2016, 02:50
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Question Stats:
52% (00:48) correct
47% (00:18) wrong based on 21 sessions
Given that \((3)^{(a-b)} = \frac{1}{81}\)
Quantity A
Quantity B
a
b
A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given.
Please clear my doubt
there are 2 ways to see above problem if we write (3)^(a-b) =3^a/3^b then 3^a/3^b=1/81 a=0 and b=4
answer will be B
but similarly it can be seen as (3)^(a-b) =3^(-4) in this case a-b = -4 answer will be D
Does this mean the answer is B? The question still carries the answer as D. I mean, it is intuitive that is a-b = -4, then a has to be less than b for it to be negative, right?