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2356790
@2356790
November 2021
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Помогите пожалуйста , заранее спасибо тебе солнышко ❤️ !
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Answers & Comments
1)![\frac{2^5*5^{22}-2*5^{21} }{25^{10} }=\frac{2*5^{21}*(2^4-1) }{(5^2)^{10} }=\frac{2*5^{21}*(16-1) }{5^{20} }=2*5^{21-20}*15= 2*5*15=150 \frac{2^5*5^{22}-2*5^{21} }{25^{10} }=\frac{2*5^{21}*(2^4-1) }{(5^2)^{10} }=\frac{2*5^{21}*(16-1) }{5^{20} }=2*5^{21-20}*15= 2*5*15=150](https://tex.z-dn.net/?f=%5Cfrac%7B2%5E5%2A5%5E%7B22%7D-2%2A5%5E%7B21%7D%20%7D%7B25%5E%7B10%7D%20%7D%3D%5Cfrac%7B2%2A5%5E%7B21%7D%2A%282%5E4-1%29%20%7D%7B%285%5E2%29%5E%7B10%7D%20%7D%3D%5Cfrac%7B2%2A5%5E%7B21%7D%2A%2816-1%29%20%7D%7B5%5E%7B20%7D%20%7D%3D2%2A5%5E%7B21-20%7D%2A15%3D%202%2A5%2A15%3D150)
2)![\frac{5*2^{32}-4*2^{30} }{4^{16} }= \frac{5*2^{32}-2^2*2^{30} }{(2^2)^{16} }= \frac{5*2^{32}-2^{32}}{2^{32} }=\frac{2^{32}*(5-1)}{2^{32} }= 4 \frac{5*2^{32}-4*2^{30} }{4^{16} }= \frac{5*2^{32}-2^2*2^{30} }{(2^2)^{16} }= \frac{5*2^{32}-2^{32}}{2^{32} }=\frac{2^{32}*(5-1)}{2^{32} }= 4](https://tex.z-dn.net/?f=%5Cfrac%7B5%2A2%5E%7B32%7D-4%2A2%5E%7B30%7D%20%7D%7B4%5E%7B16%7D%20%7D%3D%20%5Cfrac%7B5%2A2%5E%7B32%7D-2%5E2%2A2%5E%7B30%7D%20%7D%7B%282%5E2%29%5E%7B16%7D%20%7D%3D%20%5Cfrac%7B5%2A2%5E%7B32%7D-2%5E%7B32%7D%7D%7B2%5E%7B32%7D%20%7D%3D%5Cfrac%7B2%5E%7B32%7D%2A%285-1%29%7D%7B2%5E%7B32%7D%20%7D%3D%204)
3)![\frac{(4*3^{22}+7*3^{21})*57}{(19*27^4)^2}=\frac{3^{21}*(4*3+7)*57}{19^2*27^8}= \frac{3^{21}*19*(19*3)}{19^2*(3^3)^8}=\frac{3^{22}*19^2}{19^2*3^{24} }=\frac{1}{3^{24-22}}=\frac{1}{3^2} =\frac{1}{9} \frac{(4*3^{22}+7*3^{21})*57}{(19*27^4)^2}=\frac{3^{21}*(4*3+7)*57}{19^2*27^8}= \frac{3^{21}*19*(19*3)}{19^2*(3^3)^8}=\frac{3^{22}*19^2}{19^2*3^{24} }=\frac{1}{3^{24-22}}=\frac{1}{3^2} =\frac{1}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B%284%2A3%5E%7B22%7D%2B7%2A3%5E%7B21%7D%29%2A57%7D%7B%2819%2A27%5E4%29%5E2%7D%3D%5Cfrac%7B3%5E%7B21%7D%2A%284%2A3%2B7%29%2A57%7D%7B19%5E2%2A27%5E8%7D%3D%20%5Cfrac%7B3%5E%7B21%7D%2A19%2A%2819%2A3%29%7D%7B19%5E2%2A%283%5E3%29%5E8%7D%3D%5Cfrac%7B3%5E%7B22%7D%2A19%5E2%7D%7B19%5E2%2A3%5E%7B24%7D%20%7D%3D%5Cfrac%7B1%7D%7B3%5E%7B24-22%7D%7D%3D%5Cfrac%7B1%7D%7B3%5E2%7D%20%3D%5Cfrac%7B1%7D%7B9%7D)
4)![\frac{5(3*7^{15}-19*7^{14} ) }{7^{16}+3*7^{15} }= \frac{5*7^{14}* (3*7-19 ) }{7^{15}*(7+3) }= \frac{5*7^{14}* 2 }{7^{15}*10 }=7^{14-15}=7^{-1}=\frac{1}{7} \frac{5(3*7^{15}-19*7^{14} ) }{7^{16}+3*7^{15} }= \frac{5*7^{14}* (3*7-19 ) }{7^{15}*(7+3) }= \frac{5*7^{14}* 2 }{7^{15}*10 }=7^{14-15}=7^{-1}=\frac{1}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B5%283%2A7%5E%7B15%7D-19%2A7%5E%7B14%7D%20%29%20%7D%7B7%5E%7B16%7D%2B3%2A7%5E%7B15%7D%20%7D%3D%20%5Cfrac%7B5%2A7%5E%7B14%7D%2A%20%283%2A7-19%20%29%20%7D%7B7%5E%7B15%7D%2A%287%2B3%29%20%7D%3D%20%20%5Cfrac%7B5%2A7%5E%7B14%7D%2A%202%20%7D%7B7%5E%7B15%7D%2A10%20%7D%3D7%5E%7B14-15%7D%3D7%5E%7B-1%7D%3D%5Cfrac%7B1%7D%7B7%7D)