\(\dfrac{12^3.18^2}{24^2}=\dfrac{12^3.6^2.3^2}{6^2.4^2}=\dfrac{4^3.3^3.3^2}{4^2}=4.3^3.3^2=4.3^5=972\)
\(\dfrac{12^3.18^2}{24^2}=\dfrac{1728.324}{576}=\dfrac{559872}{576}=972\)
Vậy giá trị cần tìm là 972
\(=\dfrac{\left(2^2\cdot3\right)^3\cdot\left(2\cdot3^2\right)^2}{\left(2^3\cdot3\right)^2}\)
\(=\dfrac{2^{2\cdot3}\cdot3^3\cdot2^2\cdot3^{2\cdot2}}{2^{3\cdot2}\cdot3^2}\)
\(=\dfrac{2^6\cdot2^2\cdot3^3\cdot3^4}{2^6\cdot3^2}\)
\(=2^2\cdot3^5\) \(=4\cdot243\) \(=486\)