Qual é o cubo do quadrado da metade do triplo de dois?
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![\left[\,\left(\dfrac{3 \times \diagup\!\!\!\!2}{\diagup\!\!\!\!2} \right )^{2}\, \right ]^{3}\\ \\ =\left[\,\left(3 \right )^{2}\, \right ]^{3}\\ \\ =3^{2 \times 3}\\ \\ =3^{6}\\ \\ =729\\ \\ \\ \boxed{\left[\,\left(\dfrac{3 \times 2}{2} \right )^{2}\, \right ]^{3}=729}](https://tex.z-dn.net/?f=%5Cleft%5B%5C%2C%5Cleft%28%5Cdfrac%7B3+%5Ctimes+%5Cdiagup%5C%21%5C%21%5C%21%5C%212%7D%7B%5Cdiagup%5C%21%5C%21%5C%21%5C%212%7D+%5Cright+%29%5E%7B2%7D%5C%2C+%5Cright+%5D%5E%7B3%7D%5C%5C+%5C%5C+%3D%5Cleft%5B%5C%2C%5Cleft%283+%5Cright+%29%5E%7B2%7D%5C%2C+%5Cright+%5D%5E%7B3%7D%5C%5C+%5C%5C+%3D3%5E%7B2+%5Ctimes+3%7D%5C%5C+%5C%5C+%3D3%5E%7B6%7D%5C%5C+%5C%5C+%3D729%5C%5C+%5C%5C+%5C%5C+%5Cboxed%7B%5Cleft%5B%5C%2C%5Cleft%28%5Cdfrac%7B3+%5Ctimes+2%7D%7B2%7D+%5Cright+%29%5E%7B2%7D%5C%2C+%5Cright+%5D%5E%7B3%7D%3D729%7D "\left[\,\left(\dfrac{3 \times \diagup\!\!\!\!2}{\diagup\!\!\!\!2} \right )^{2}\, \right ]^{3}\\ \\ =\left[\,\left(3 \right )^{2}\, \right ]^{3}\\ \\ =3^{2 \times 3}\\ \\ =3^{6}\\ \\ =729\\ \\ \\ \boxed{\left[\,\left(\dfrac{3 \times 2}{2} \right )^{2}\, \right ]^{3}=729}")
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