Question

32^5 x 81^4 phần 18^6 x 16^5

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Answer 1

\(\frac{32^5\cdot81^4}{18^6\cdot16^5}=\frac{4^5\cdot8^5\cdot\left(9^2\right)^4}{2^6\cdot9^6\cdot\left(4^2\right)^5}=\frac{\left(2^2\right)^5\cdot2^5\cdot3^5\cdot\left(3^{2^2}\right)^4}{2^6\cdot\left(3^2\right)^6\cdot\left(2^{2^2}\right)^5}=\frac{2^{10}\cdot2^5\cdot3^5\cdot3^{16}}{2^6\cdot3^{12}\cdot2^{20}}=\frac{2^{15}\cdot3^{21}}{2^{26}\cdot3^{12}}=\frac{3^9}{2^{11}}\)