\(\dfrac{6^2\cdot3^3}{12^2}\)
\(=\dfrac{2^2\cdot3^2\cdot3^3}{2^4\cdot3^2}\)
\(=\dfrac{2^2\cdot3^5}{2^4\cdot3^2}\)
\(=\dfrac{1\cdot3^3}{2^2\cdot1}\)
\(=\dfrac{3^3}{2^2}\)
\(=\dfrac{27}{4}\)
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