Question

${\left(81\right)}^{-1}\times 3^{-5}\times 3^9\times (64{)}^{\frac{5}{6}}\times {\left(\sqrt[3]{33}\right)}^6$

Answer 1

$(81{)}^{-1}\times 3^{-5}\times 3^9+(64{)}^{5/6}\times (\sqrt[3]{33}{)}^6$

$\Rightarrow \frac{1}{81}\times \frac{3^9}{3^5}\times \left[\right(2{)}^6]\times (3{)}^{8/3}$

$\Rightarrow \frac{1}{(3{)}^4}\times (3{)}^{9-5}\times (2{)}^5\times (3{)}^2$

$\Rightarrow \frac{(2{)}^5\times (3{)}^4\times (3{)}^2}{(3{)}^4}$ $=9\times \left(2^5\right)=9\times 32$

$\Rightarrow 288$