Solve 3^x * 9^2x * 8^x/18^x *27^2x *3^2x
since there's no equation, there's nothing to solve. Now, if you want to simplify an expression in some way, then we have
(3^x * 9^2x * 8^x)/(18^x *27^2x *3^2x)
since 9=3^2 and 8=2^3,
(3^x * 3^4x * 2^3x)/(2^x*3^2x * 3^6x * 3^2x)
(3^5x * 2^3x)/(3^10x * 2^x)
2^2x / 3^5x
You can stop there, or go on to say
4^x/243^x
(4/243)^x