Question

Solve the following:-
${\left(\frac{2^6\times 3^4}{6^3}\right)}^2\times {\left(\frac{3^3\times 2^5}{3\times 8}\right)}^3$

Answer 1

${\left(\frac{2^6\times 3^4}{6^3}\right)}^2\times {\left(\frac{3^3\times 2^5}{3\times 8}\right)}^3$

Let $A=(\frac{2^3\times 3^3\times 2^3\times 3}{6^3}{)}^2\times (\frac{3^2\times 2^3\times 2^2}{8}{)}^3$

$=(8\times 3{)}^2\times (9\times 4{)}^3$

$={24}^2\times {36}^3$

$A=26873856.$

${\left(\frac{2^6\times 3^4}{6^3}\right)}^2\times {\left(\frac{3^3\times 2^5}{3\times 8}\right)}^3$$=26873856.$