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Trả lời:
\(\frac{2\times4+2\times4\times8+4\times8\times16+8\times16\times32}{3\times4+2\times6\times8+4\times12\times16+8\times24\times32}\)
\(=\frac{2\times4+2\times4\times8+2.2\times2.4\times16+4.2\times4.4\times32}{3\times4+2\times2.3\times2.4+4\times3.4\times4.4+8\times8.3\times8.4}\)
\(=\frac{2\times4\times\left(1+8+2\times2\times16+4\times4\times32\right)}{3\times4\times\left(1+2\times2\times2+4\times4\times4+8\times8\times8\right)}\)
\(=\frac{2\times4\times\left(1+8+64+512\right)}{3\times4\times\left(1+8+64+512\right)}\)
\(=\frac{2}{3}\)
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\(=\dfrac{1\cdot2\cdot3+8\cdot1\cdot2\cdot3+64\cdot1\cdot2\cdot3+125\cdot1\cdot2\cdot3}{1\cdot3\cdot4+8\cdot1\cdot3\cdot4+64\cdot1\cdot3\cdot4+125\cdot1\cdot3\cdot4}\)
\(=\dfrac{1\cdot2\cdot3}{1\cdot3\cdot4}=\dfrac{2}{4}=\dfrac{1}{2}\)