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mironovamasha00
@mironovamasha00
August 2022
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daraprelj
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а)![(\frac{1}{2})^{2} =\frac{1^{2}}{2^{2}}=\frac{1}{4} = 0,25 (\frac{1}{2})^{2} =\frac{1^{2}}{2^{2}}=\frac{1}{4} = 0,25](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7B2%7D%20%3D%5Cfrac%7B1%5E%7B2%7D%7D%7B2%5E%7B2%7D%7D%3D%5Cfrac%7B1%7D%7B4%7D%20%3D%200%2C25)
б)![(\frac{2}{5} )^{2}=\frac{2^{2}}{5^{2}} =\frac{4}{25} =\frac{16}{100} =0,16 (\frac{2}{5} )^{2}=\frac{2^{2}}{5^{2}} =\frac{4}{25} =\frac{16}{100} =0,16](https://tex.z-dn.net/?f=%28%5Cfrac%7B2%7D%7B5%7D%20%29%5E%7B2%7D%3D%5Cfrac%7B2%5E%7B2%7D%7D%7B5%5E%7B2%7D%7D%20%20%3D%5Cfrac%7B4%7D%7B25%7D%20%3D%5Cfrac%7B16%7D%7B100%7D%20%3D0%2C16)
в)![(\frac{2}{3} )^{3} = \frac{2^{3}}{3^{3}}=\frac{8}{27} (\frac{2}{3} )^{3} = \frac{2^{3}}{3^{3}}=\frac{8}{27}](https://tex.z-dn.net/?f=%28%5Cfrac%7B2%7D%7B3%7D%20%29%5E%7B3%7D%20%3D%20%5Cfrac%7B2%5E%7B3%7D%7D%7B3%5E%7B3%7D%7D%3D%5Cfrac%7B8%7D%7B27%7D)
г)![(\frac{2}{5})^{3}=\frac{2^{3}}{5^{3}}=\frac{8}{125} =\frac{64}{1000}=0,064 (\frac{2}{5})^{3}=\frac{2^{3}}{5^{3}}=\frac{8}{125} =\frac{64}{1000}=0,064](https://tex.z-dn.net/?f=%28%5Cfrac%7B2%7D%7B5%7D%29%5E%7B3%7D%3D%5Cfrac%7B2%5E%7B3%7D%7D%7B5%5E%7B3%7D%7D%3D%5Cfrac%7B8%7D%7B125%7D%20%3D%5Cfrac%7B64%7D%7B1000%7D%3D0%2C064)
д)![(2\frac{1}{2})^{2}=(\frac{5}{2})^{2}=\frac{5^{2}}{2^{2}}=\frac{25}{4}=\frac{625}{100} =6,25 (2\frac{1}{2})^{2}=(\frac{5}{2})^{2}=\frac{5^{2}}{2^{2}}=\frac{25}{4}=\frac{625}{100} =6,25](https://tex.z-dn.net/?f=%282%5Cfrac%7B1%7D%7B2%7D%29%5E%7B2%7D%3D%28%5Cfrac%7B5%7D%7B2%7D%29%5E%7B2%7D%3D%5Cfrac%7B5%5E%7B2%7D%7D%7B2%5E%7B2%7D%7D%3D%5Cfrac%7B25%7D%7B4%7D%3D%5Cfrac%7B625%7D%7B100%7D%20%3D6%2C25)
е)![(3\frac{1}{3})^{3}=(\frac{10}{3})^{3}=\frac{10^{3}}{3^{3}} =\frac{1000}{27} (3\frac{1}{3})^{3}=(\frac{10}{3})^{3}=\frac{10^{3}}{3^{3}} =\frac{1000}{27}](https://tex.z-dn.net/?f=%283%5Cfrac%7B1%7D%7B3%7D%29%5E%7B3%7D%3D%28%5Cfrac%7B10%7D%7B3%7D%29%5E%7B3%7D%3D%5Cfrac%7B10%5E%7B3%7D%7D%7B3%5E%7B3%7D%7D%20%20%20%3D%5Cfrac%7B1000%7D%7B27%7D)
ж)![(1\frac{1}{5})^{2}=(\frac{6}{5})^{2}=\frac{6^{2}}{5^{2}}=\frac{36}{25}=\frac{144}{100} =1,44 (1\frac{1}{5})^{2}=(\frac{6}{5})^{2}=\frac{6^{2}}{5^{2}}=\frac{36}{25}=\frac{144}{100} =1,44](https://tex.z-dn.net/?f=%281%5Cfrac%7B1%7D%7B5%7D%29%5E%7B2%7D%3D%28%5Cfrac%7B6%7D%7B5%7D%29%5E%7B2%7D%3D%5Cfrac%7B6%5E%7B2%7D%7D%7B5%5E%7B2%7D%7D%3D%5Cfrac%7B36%7D%7B25%7D%3D%5Cfrac%7B144%7D%7B100%7D%20%3D1%2C44)
з)![(1\frac{1}{4})^{2}=(\frac{5}{4})^{2}=\frac{5^{3}}{4^{3}} =\frac{125}{64} = 1\frac{61}{64} (1\frac{1}{4})^{2}=(\frac{5}{4})^{2}=\frac{5^{3}}{4^{3}} =\frac{125}{64} = 1\frac{61}{64}](https://tex.z-dn.net/?f=%281%5Cfrac%7B1%7D%7B4%7D%29%5E%7B2%7D%3D%28%5Cfrac%7B5%7D%7B4%7D%29%5E%7B2%7D%3D%5Cfrac%7B5%5E%7B3%7D%7D%7B4%5E%7B3%7D%7D%20%20%20%3D%5Cfrac%7B125%7D%7B64%7D%20%3D%201%5Cfrac%7B61%7D%7B64%7D)