To expand upon the (excellent) previous reply, you are given that:. . . . .. . . . .. . . . .
The only way that these fractions can be equal is for their denominators to be equal, since we can see
that their numerators are the same. In other words:. . . . .
Since 2 < 3 and since no answer-option allows for
(so, in particular, we can not have a = b = 0), then the powers must be different. If the powers are positive, then what must be true of the relative sizes of
? If the powers are negative, so we're looking at inverted fractions with the absolute values of the powers, what then must be true of their relative sizes? Is there any way in which oppositely signed powers could fulfill the given equality?