Question

(3^2)^3*(2*3^5)^-2*(18)^2 ​

Answer 1

Answer:

${ {3}^{2} }^{3} \times {(2 \times {3}^{5}) }^{ - 2} \times {18}^{2 } \\ \\ = {3}^{6} \times \frac{1}{4 \times {3}^{10} } \times {18}^{2} \\ \\ = \frac{ {18}^{2} }{4 \times {3}^{4} } \\ \\ = \frac{ \cancel{18 } \: ^{ \cancel{6}} \: ^{ \cancel{2}}\times { \cancel{18}} \: ^{ \cancel{6 }} \: ^{ \cancel{2}} \: ^1 }{ { \cancel{4 }}\times { \cancel{3}} \times { \cancel{3 }}\times { \cancel{3}} \times { \cancel{3}} } \\ \\ = { \huge{ \red{ \boxed{1}}}}$