Question

(01.03 MC) Find the value of the following expression.

Answer 1

`(16)/(9)`.

Explanation:

`(2^8*3^(-5)*6^0)^(-2)*((3^(-2))/(2^3))^4*2^(28)\\ (2^8*(1)/(3^5)*1)^(-2)*((1)/(3^8) )/((2^(12))/(1) )*2^(28) \\ ((2^8)/(3^5))^(-2) * (1)/(2^8*3^(12)) *2^(28)\\ (1)/((2^8*2)/(3^(5*2)) ) * (1)/(2^8*3^(12)) *2^(28)\\ ((1)/(1) )/((2^(16))/(3^(10)) ) * (1)/(2^8*3^(12)) *2^(28)\\ (3^(10))/(2^(16)) * (1)/(2^8*3^(12)) *2^(28)\\ (2^(28))/(2^(24)*3^2) = (2^4)/(3^2)=(16)/(9)`