\(\dfrac{4^6.3^4.9^5}{6^{12}}=\dfrac{\left(2^2\right)^6.3^4.\left(3^2\right)^5}{\left(2.3\right)^{12}}=\dfrac{2^{12}.3^4.3^{10}}{2^{12}.3^{12}}=\dfrac{2^{12}.3^{14}}{2^{12}.3^{12}}=3^2=9\)
\(\dfrac{4^6×3^4×9^5}{6^{12}}\)
\(=\dfrac{\left(2^2\right)^3×3^4×\left(3^2\right)^5}{2^{12}×3^{12}}\)
\(=\dfrac{2^{12}×3^{14}}{2^{12}×3^{12}}\)
\(=3^2\)
\(=9\)
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\(\dfrac{4^6.3^4.9^5}{6^{12}}=\dfrac{\left(2^2\right)^6.3^4.\left(3^2\right)^5}{\left(2.3\right)^{12}}=\dfrac{2^{12}.3^4.3^{10}}{2^{12}.3^{12}}=\dfrac{2^{12}.3^{14}}{2^{12}.3^{12}}=3^2=9\)