Question

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4..\(\frac{64^3.36^2}{16^4.18^5}\) 5. \(\frac{34^{18}.68^{24}}{17^{30}.2^{16}}\)

Answer 1

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Answer 2

[Cá Chép Nhỏ]

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4. \(\frac{64^3.36^2}{16^4.18^5}=\frac{\left(2^6\right)^3.\left(2^2.3^2\right)^2}{\left(2^4\right)^4.\left(2.3^2\right)^5}=\frac{2^{18}.\left(2^2\right)^2.\left(3^2\right)^2}{2^{16}.2^5.\left(3^2\right)^5}\)

   \(=\frac{2^{18}.2^4.3^4}{2^{16}.2^5.3^{10}}=\frac{2^{22}.3^4}{2^{21}.3^{10}}=\frac{2}{3^6}\)

5. \(\frac{34^{18}.68^{24}}{17^{30}.2^{16}}=\frac{\left(2.17\right)^{18}.\left(2^2.17\right)^{24}}{17^{30}.2^{16}}=\frac{2^{18}.17^{18}.\left(2^2\right)^{24}.17^{24}}{17^{30}.2^{16}}\)

\(=\frac{2^{18}.17^{18}.2^{48}.17^{24}}{17^{30}.2^{16}}=\) \(\frac{2^{66}.17^{42}}{17^{30}.2^{16}}=2^{50}.17^{12}\)