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2. ![sqrt[4]{27} * sqrt[4]{3} = sqrt[4]{27*3} = sqrt[4]{ 3^{3}*3} = sqrt[4]{3^{4}} = 3 sqrt[4]{27} * sqrt[4]{3} = sqrt[4]{27*3} = sqrt[4]{ 3^{3}*3} = sqrt[4]{3^{4}} = 3](https://tex.z-dn.net/?f=+sqrt%5B4%5D%7B27%7D+%2A+sqrt%5B4%5D%7B3%7D+%3D++sqrt%5B4%5D%7B27%2A3%7D+%3D+sqrt%5B4%5D%7B+3%5E%7B3%7D%2A3%7D++%3D+sqrt%5B4%5D%7B3%5E%7B4%7D%7D+%3D+3)
2![2^{-1} + (-3)^{-3} = frac{1}{2} + frac{1}{(-3)^{3}} = frac{1}{2} - frac{1}{3^{3}} = frac{1}{2} - frac{1}{27} = frac{27 - 2}{54} = frac{25}{54} 2^{-1} + (-3)^{-3} = frac{1}{2} + frac{1}{(-3)^{3}} = frac{1}{2} - frac{1}{3^{3}} = frac{1}{2} - frac{1}{27} = frac{27 - 2}{54} = frac{25}{54}](https://tex.z-dn.net/?f=+2%5E%7B-1%7D++%2B+++%28-3%29%5E%7B-3%7D+%3D++frac%7B1%7D%7B2%7D++%2B++frac%7B1%7D%7B%28-3%29%5E%7B3%7D%7D++%3D++frac%7B1%7D%7B2%7D++-++frac%7B1%7D%7B3%5E%7B3%7D%7D+%3D+++frac%7B1%7D%7B2%7D++-++frac%7B1%7D%7B27%7D++%3D++frac%7B27+-+2%7D%7B54%7D++%3D++frac%7B25%7D%7B54%7D+)
![(2^{- frac{1}{7} } )^{1,4} * 4^{0,1} = 2^{- frac{1}{7}* frac{14}{10} } * ( 2^{2})^{0,1} = 2^{-0,2} * 2^{0,2} = 2^{-0,2 + 0,2} = 2^{0} = 1 (2^{- frac{1}{7} } )^{1,4} * 4^{0,1} = 2^{- frac{1}{7}* frac{14}{10} } * ( 2^{2})^{0,1} = 2^{-0,2} * 2^{0,2} = 2^{-0,2 + 0,2} = 2^{0} = 1](https://tex.z-dn.net/?f=+%282%5E%7B-+frac%7B1%7D%7B7%7D+%7D+%29%5E%7B1%2C4%7D+%2A++4%5E%7B0%2C1%7D+++%3D++2%5E%7B-+frac%7B1%7D%7B7%7D%2A+frac%7B14%7D%7B10%7D+%7D++%2A++%28+2%5E%7B2%7D%29%5E%7B0%2C1%7D++%3D+2%5E%7B-0%2C2%7D+%2A+++2%5E%7B0%2C2%7D++%3D++2%5E%7B-0%2C2+%2B+0%2C2%7D++%3D+2%5E%7B0%7D+%3D+1+)
![0,00032^{0,4} = ( 0,2^{5} ) ^{0,4} = 0,2^{5*0,4} = 0,2^{2} = 0,04 0,00032^{0,4} = ( 0,2^{5} ) ^{0,4} = 0,2^{5*0,4} = 0,2^{2} = 0,04](https://tex.z-dn.net/?f=+0%2C00032%5E%7B0%2C4%7D++%3D++%28+0%2C2%5E%7B5%7D+%29+%5E%7B0%2C4%7D++%3D+0%2C2%5E%7B5%2A0%2C4%7D++%3D+0%2C2%5E%7B2%7D++%3D+0%2C04)
3.![sqrt{ asqrt{a} } = sqrt{a * a^{ frac{1}{2} } } = sqrt{a^{ frac{3}{2} }} = (a^{ frac{3}{2} })^ frac{1}{2} = a^{ frac{3}{4}} sqrt{ asqrt{a} } = sqrt{a * a^{ frac{1}{2} } } = sqrt{a^{ frac{3}{2} }} = (a^{ frac{3}{2} })^ frac{1}{2} = a^{ frac{3}{4}}](https://tex.z-dn.net/?f=+sqrt%7B+asqrt%7Ba%7D+%7D+++%3D+++sqrt%7Ba+%2A++a%5E%7B+frac%7B1%7D%7B2%7D+%7D+%7D+%3D++sqrt%7Ba%5E%7B+frac%7B3%7D%7B2%7D+%7D%7D++%3D+%28a%5E%7B+frac%7B3%7D%7B2%7D+%7D%29%5E+frac%7B1%7D%7B2%7D++%3D++a%5E%7B+frac%7B3%7D%7B4%7D%7D+)
4.![b^{ frac{3}{4} } + b^{ frac{1}{2} } = b^{ frac{2}{4} +frac{1}{4} } + b^{ frac{1}{2} } = b^{ frac{2}{4} }* b^{ frac{1}{4} } + b^{ frac{1}{2} } = b^{ frac{1}{2} }* b^{ frac{1}{4} } + b^{ frac{1}{2} } = b^{ frac{1}{2} }* (b^{ frac{1}{4} } + 1) b^{ frac{3}{4} } + b^{ frac{1}{2} } = b^{ frac{2}{4} +frac{1}{4} } + b^{ frac{1}{2} } = b^{ frac{2}{4} }* b^{ frac{1}{4} } + b^{ frac{1}{2} } = b^{ frac{1}{2} }* b^{ frac{1}{4} } + b^{ frac{1}{2} } = b^{ frac{1}{2} }* (b^{ frac{1}{4} } + 1)](https://tex.z-dn.net/?f=+b%5E%7B+frac%7B3%7D%7B4%7D+%7D+%2B++b%5E%7B+frac%7B1%7D%7B2%7D+%7D+%3D++b%5E%7B+frac%7B2%7D%7B4%7D+%2Bfrac%7B1%7D%7B4%7D+++%7D+%2B++b%5E%7B+frac%7B1%7D%7B2%7D+%7D+%3D++b%5E%7B+frac%7B2%7D%7B4%7D+%7D%2A+b%5E%7B+frac%7B1%7D%7B4%7D+%7D++%2B++b%5E%7B+frac%7B1%7D%7B2%7D+%7D+%3D++b%5E%7B+frac%7B1%7D%7B2%7D+%7D%2A+b%5E%7B+frac%7B1%7D%7B4%7D+%7D++%2B++b%5E%7B+frac%7B1%7D%7B2%7D+%7D+%3D+b%5E%7B+frac%7B1%7D%7B2%7D+%7D%2A+%28b%5E%7B+frac%7B1%7D%7B4%7D+%7D++%2B+1%29+)
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Огромное спасибо!!! А остальное??)
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