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1
1*2*3*(1+8+64+343)/[1*3*5*(1+8+64+343)]=2/5=0,4
4
(2^4)^(n-2)*(2²)^(n-1)/(2³)^2n=2^(4n-8+2n-2-6n)=2^6=64
5
x=-3,y=-5/6
2/3*xy-3x²-3y-2=2/3*3*5/6-9+5/6-2=-11+15/6=-11+2,5=-8,5
x²-x/y=9-3^5/6=9-3*6/5=9-3,6=5,4
(2/3*xy-3x²-3y-2)/(x²-x/y)=-8,5:5,4=-85/54=-1 31/54
1*2*3*(1+8+64+343)/[1*3*5*(1+8+64+343)]=2/5=0,4
4
(2^4)^(n-2)*(2²)^(n-1)/(2³)^2n=2^(4n-8+2n-2-6n)=2^6=64
5
x=-3,y=-5/6
2/3*xy-3x²-3y-2=2/3*3*5/6-9+5/6-2=-11+15/6=-11+2,5=-8,5
x²-x/y=9-3^5/6=9-3*6/5=9-3,6=5,4
(2/3*xy-3x²-3y-2)/(x²-x/y)=-8,5:5,4=-85/54=-1 31/54
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а что значат ^ ?
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степень
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0
1)
![frac{1*2*3+2*4*6+4*8*12+7*14*21}{1*3*5+2*6*10+4*12*20+7*21*35} = frac{2*3* (1+2*4+4*4*4+7*7*7)}{3*5 *(1+2*2*2+4*4*4+7*7*7)} = frac{2}{5} frac{1*2*3+2*4*6+4*8*12+7*14*21}{1*3*5+2*6*10+4*12*20+7*21*35} = frac{2*3* (1+2*4+4*4*4+7*7*7)}{3*5 *(1+2*2*2+4*4*4+7*7*7)} = frac{2}{5}](https://tex.z-dn.net/?f=+frac%7B1%2A2%2A3%2B2%2A4%2A6%2B4%2A8%2A12%2B7%2A14%2A21%7D%7B1%2A3%2A5%2B2%2A6%2A10%2B4%2A12%2A20%2B7%2A21%2A35%7D+%3D++frac%7B2%2A3%2A+%281%2B2%2A4%2B4%2A4%2A4%2B7%2A7%2A7%29%7D%7B3%2A5+%2A%281%2B2%2A2%2A2%2B4%2A4%2A4%2B7%2A7%2A7%29%7D+%3D++frac%7B2%7D%7B5%7D+)
4)
![frac{16^{n+2}*4^{n-1}}{8^{2n}} = frac{(2^4)^{n+2}*(2^2)^{n-1}}{(2^3)^{2n}} = \ \
= frac{2^{4(n+2)} *2^{2(n-1)}}{2^{3*2n}} = frac{2^{4n+8} *2^{2n-2}}{2^{6n}} = \ \
= frac{2^{4n+8+2n-2}}{2^{6n}} = 2^{6n+6-6n}= 2^{6}=64 frac{16^{n+2}*4^{n-1}}{8^{2n}} = frac{(2^4)^{n+2}*(2^2)^{n-1}}{(2^3)^{2n}} = \ \
= frac{2^{4(n+2)} *2^{2(n-1)}}{2^{3*2n}} = frac{2^{4n+8} *2^{2n-2}}{2^{6n}} = \ \
= frac{2^{4n+8+2n-2}}{2^{6n}} = 2^{6n+6-6n}= 2^{6}=64](https://tex.z-dn.net/?f=+frac%7B16%5E%7Bn%2B2%7D%2A4%5E%7Bn-1%7D%7D%7B8%5E%7B2n%7D%7D+%3D++frac%7B%282%5E4%29%5E%7Bn%2B2%7D%2A%282%5E2%29%5E%7Bn-1%7D%7D%7B%282%5E3%29%5E%7B2n%7D%7D+%3D+%5C++%5C+%0A%3D++frac%7B2%5E%7B4%28n%2B2%29%7D+%2A2%5E%7B2%28n-1%29%7D%7D%7B2%5E%7B3%2A2n%7D%7D+%3D++frac%7B2%5E%7B4n%2B8%7D+%2A2%5E%7B2n-2%7D%7D%7B2%5E%7B6n%7D%7D+%3D+%5C++%5C+%0A%3D++frac%7B2%5E%7B4n%2B8%2B2n-2%7D%7D%7B2%5E%7B6n%7D%7D+%3D+2%5E%7B6n%2B6-6n%7D%3D+2%5E%7B6%7D%3D64)
5) при х=-3 , у= -5/6
![frac{ frac{2}{3} *(-3) * (- frac{5}{6}) -(-3)^2-(- frac{5}{6}) -2}{(-3)^2- frac{-3}{ -frac{5}{6} } } = frac{ frac{2*3*5}{3*1*6} -9 + frac{5}{6}-2 }{9- frac{3*6}{1*5} } = \ \
= frac{ frac{10}{6} + frac{5}{6} -11}{9-3 frac{3}{5} } = frac{2 frac{1}{2} -11}{5 frac{2}{5} } =- 8 frac{1}{2} : 5 frac{2}{5} = - frac{17}{2} * frac{5}{27} = \ \
=- frac{85}{54} = -1 frac{31}{54} frac{ frac{2}{3} *(-3) * (- frac{5}{6}) -(-3)^2-(- frac{5}{6}) -2}{(-3)^2- frac{-3}{ -frac{5}{6} } } = frac{ frac{2*3*5}{3*1*6} -9 + frac{5}{6}-2 }{9- frac{3*6}{1*5} } = \ \
= frac{ frac{10}{6} + frac{5}{6} -11}{9-3 frac{3}{5} } = frac{2 frac{1}{2} -11}{5 frac{2}{5} } =- 8 frac{1}{2} : 5 frac{2}{5} = - frac{17}{2} * frac{5}{27} = \ \
=- frac{85}{54} = -1 frac{31}{54}](https://tex.z-dn.net/?f=+frac%7B+frac%7B2%7D%7B3%7D+%2A%28-3%29+%2A+%28-+frac%7B5%7D%7B6%7D%29+-%28-3%29%5E2-%28-+frac%7B5%7D%7B6%7D%29+-2%7D%7B%28-3%29%5E2-+frac%7B-3%7D%7B+-frac%7B5%7D%7B6%7D+%7D+%7D+%3D+frac%7B+frac%7B2%2A3%2A5%7D%7B3%2A1%2A6%7D+-9+%2B+frac%7B5%7D%7B6%7D-2+%7D%7B9-++frac%7B3%2A6%7D%7B1%2A5%7D+%7D+%3D+%5C++%5C+%0A%3D+frac%7B+frac%7B10%7D%7B6%7D+%2B+frac%7B5%7D%7B6%7D+-11%7D%7B9-3+frac%7B3%7D%7B5%7D+%7D+%3D++frac%7B2+frac%7B1%7D%7B2%7D+-11%7D%7B5++frac%7B2%7D%7B5%7D+%7D+%3D-+8++frac%7B1%7D%7B2%7D+%3A+5+frac%7B2%7D%7B5%7D+%3D+-+frac%7B17%7D%7B2%7D+%2A++frac%7B5%7D%7B27%7D+%3D+%5C++%5C+%0A%3D-+frac%7B85%7D%7B54%7D+%3D+-1++frac%7B31%7D%7B54%7D+)
4)
5) при х=-3 , у= -5/6
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