\(\dfrac{3^{10}.16^3}{8^3.27^4}=\dfrac{3^{10}.\left(2^4\right)^3}{\left(2^3\right)^3.\left(3^3\right)^4}\)
\(=\dfrac{3^{10}.2^{12}}{2^9.3^{12}}=\dfrac{2^3}{3^2}=\dfrac{8}{9}\)
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