${a^{m{{\log }_a}n}} = $
${a^{mn}}$
${m^n}$
${n^m}$
None of these
If ${a^x} = {(x + y + z)^y},{a^y} = {(x + y + z)^z}$, ${a^z} = {(x + y + z)^x},$ then
The cube root of $9\sqrt 3 + 11\sqrt 2 $ is
If ${a^x} = {b^y} = {(ab)^{xy}},$ then $x + y = $
The rationalising factor of $2\sqrt 3 - \sqrt 7 $ is
$\root 4 \of {(17 + 12\sqrt 2 )} = $