2) Which of the following numbers is greater than one?
(A) $\left(\frac{3}{4}\right)^{\frac{3}{4}}$
(B) $(1.1)^{-1.1}$
(C) $\left(\frac{1}{\sqrt{2}}\right)^{-\frac{1}{\sqrt{2}}}$
(D) $(\sqrt{2}-1)^{\sqrt{2}-1}$
(E) $(2-\sqrt{3})^{2-\sqrt{3}}$.
2) The answer is (C)

A number greater than 1 raised to a positive power is greater than 1, while raised to a negative power is less than 1: this eliminates answer (B). A positive number less than 1 raised to a positive power is less than 1 (and this eliminates answers (A), (D), and (E) while raised to a negative power is greater than 1: this is the case of answer (C).