Which of the following statements is/are True?
I. $$ {\sqrt{12}}>{^{3}{\sqrt{16}}}>{^{4}{\sqrt{24}}}$$
II. $$ ^{3}{\sqrt{25}}>{^{4}{\sqrt{32}}}>{^{6}{\sqrt{48}}}$$
III. $$ ^{4}{\sqrt{9}}>{^{3}{\sqrt{15}}}>{^{6}{\sqrt{24}}}$$

If $$  3 ^{2x-y}=3^{x+y}=\sqrt{27}$$ then the value of y is

The value of $$ {4^{10+n}}.{16^{3n-4}}\over4^{7n}$$ is:

$$ {{2^n+2^{n-1}}\over {2^{n+1} -2^n}}=?$$

If $$ (3^{33}+3^{33}+3^{33})(2^{33}+2^{33})=6^x$$, the what is the value of x?

If 5^a=3125, then the value of 5^(a-3) is:

$$ \sqrt{217+\sqrt{48+\sqrt{256}}}=?$$

Find the cube root of $$ ^{3}\sqrt{-13824}$$.