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July 2022
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drakerton
Решение:
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Answers & Comments
Решение:
1)![\frac{(2^4)^3*6^7*3^2}{18^4*2^9} = \frac{2^{12}*6^7*3^2}{18^4*2^9} = \frac{2^{12}*6^7*3^2}{6^4*3^4*2^9} = \frac{2^3*6^3}{3^2} = \frac{2^3*2^3*3^3}{3^2} = 2^3*2^3*3 = 8*8*3 = 192 \frac{(2^4)^3*6^7*3^2}{18^4*2^9} = \frac{2^{12}*6^7*3^2}{18^4*2^9} = \frac{2^{12}*6^7*3^2}{6^4*3^4*2^9} = \frac{2^3*6^3}{3^2} = \frac{2^3*2^3*3^3}{3^2} = 2^3*2^3*3 = 8*8*3 = 192](https://tex.z-dn.net/?f=%5Cfrac%7B%282%5E4%29%5E3%2A6%5E7%2A3%5E2%7D%7B18%5E4%2A2%5E9%7D%20%3D%20%5Cfrac%7B2%5E%7B12%7D%2A6%5E7%2A3%5E2%7D%7B18%5E4%2A2%5E9%7D%20%3D%20%5Cfrac%7B2%5E%7B12%7D%2A6%5E7%2A3%5E2%7D%7B6%5E4%2A3%5E4%2A2%5E9%7D%20%3D%20%5Cfrac%7B2%5E3%2A6%5E3%7D%7B3%5E2%7D%20%3D%20%5Cfrac%7B2%5E3%2A2%5E3%2A3%5E3%7D%7B3%5E2%7D%20%3D%202%5E3%2A2%5E3%2A3%20%3D%208%2A8%2A3%20%3D%20192)
2)![\frac{(3^3)^3*5^7*2^2}{81^2*10^5} = \frac{3^9*5^7*2^2}{81^2*10^5} = \frac{3^9*5^7*2^2}{3^8*10^5} = \frac{3*5^7*2^2}{5^5*2^5} = \frac{3*5^2}{2^3} = \frac{75}{8} = 9\frac{3}{8} = 9,375 \frac{(3^3)^3*5^7*2^2}{81^2*10^5} = \frac{3^9*5^7*2^2}{81^2*10^5} = \frac{3^9*5^7*2^2}{3^8*10^5} = \frac{3*5^7*2^2}{5^5*2^5} = \frac{3*5^2}{2^3} = \frac{75}{8} = 9\frac{3}{8} = 9,375](https://tex.z-dn.net/?f=%5Cfrac%7B%283%5E3%29%5E3%2A5%5E7%2A2%5E2%7D%7B81%5E2%2A10%5E5%7D%20%3D%20%5Cfrac%7B3%5E9%2A5%5E7%2A2%5E2%7D%7B81%5E2%2A10%5E5%7D%20%3D%20%5Cfrac%7B3%5E9%2A5%5E7%2A2%5E2%7D%7B3%5E8%2A10%5E5%7D%20%3D%20%5Cfrac%7B3%2A5%5E7%2A2%5E2%7D%7B5%5E5%2A2%5E5%7D%20%3D%20%5Cfrac%7B3%2A5%5E2%7D%7B2%5E3%7D%20%3D%20%5Cfrac%7B75%7D%7B8%7D%20%3D%209%5Cfrac%7B3%7D%7B8%7D%20%3D%209%2C375)