Which is the *smallest* of the following numbers?

\(\left(\sqrt{3}\right)^3\),

\(\log_3 \left(9^2\right)\),

\(\left( 3\sin{\dfrac{\pi}{3}}\right) ^2\),

\(\log_2 \left(\log_2 \left(8^5\right)\right)\).

Can we evaluate any of the expressions exactly?

If so, how do the other expressions compare with the exact value(s)?