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a)
б)![16^ frac{1}{2} = sqrt{16}=4 16^ frac{1}{2} = sqrt{16}=4](https://tex.z-dn.net/?f=16%5E+frac%7B1%7D%7B2%7D+%3D+sqrt%7B16%7D%3D4+)
в)
г)
д)![12^{-5}/12^{-4}=12^{-5+4}= frac{1}{12} 12^{-5}/12^{-4}=12^{-5+4}= frac{1}{12}](https://tex.z-dn.net/?f=12%5E%7B-5%7D%2F12%5E%7B-4%7D%3D12%5E%7B-5%2B4%7D%3D+frac%7B1%7D%7B12%7D+)
е)![(3^{-2})^2=3^{-4}= frac{1}{81} (3^{-2})^2=3^{-4}= frac{1}{81}](https://tex.z-dn.net/?f=%283%5E%7B-2%7D%29%5E2%3D3%5E%7B-4%7D%3D+frac%7B1%7D%7B81%7D+)
ж)![frac{2^{-6}*4^{-3}}{8^{-7}} = frac{2^{-6}*2^{-6}}{2^{-21}}= frac{2^{-12}}{2^{-21}}= 2^{-12+21}=2^{9}=512 frac{2^{-6}*4^{-3}}{8^{-7}} = frac{2^{-6}*2^{-6}}{2^{-21}}= frac{2^{-12}}{2^{-21}}= 2^{-12+21}=2^{9}=512](https://tex.z-dn.net/?f=+frac%7B2%5E%7B-6%7D%2A4%5E%7B-3%7D%7D%7B8%5E%7B-7%7D%7D+%3D+frac%7B2%5E%7B-6%7D%2A2%5E%7B-6%7D%7D%7B2%5E%7B-21%7D%7D%3D+frac%7B2%5E%7B-12%7D%7D%7B2%5E%7B-21%7D%7D%3D+2%5E%7B-12%2B21%7D%3D2%5E%7B9%7D%3D512)
а)![y^{ frac{5}{7} } / y^{ frac{3}{14} }=y^{{ frac{10}{14} }-{ frac{3}{14} }} = y^{frac{7}{14}}= sqrt{y} y^{ frac{5}{7} } / y^{ frac{3}{14} }=y^{{ frac{10}{14} }-{ frac{3}{14} }} = y^{frac{7}{14}}= sqrt{y}](https://tex.z-dn.net/?f=+y%5E%7B+frac%7B5%7D%7B7%7D+%7D+%2F+y%5E%7B+frac%7B3%7D%7B14%7D+%7D%3Dy%5E%7B%7B+frac%7B10%7D%7B14%7D+%7D-%7B+frac%7B3%7D%7B14%7D+%7D%7D+%3D+y%5E%7Bfrac%7B7%7D%7B14%7D%7D%3D+sqrt%7By%7D+)
б) m^(5/6)*m^(1/2)=m^(4/3)=∛m^4=m√m
в) (a^(5/3))^(-9/10)=a^(3/2)=√a^3=a√a
г) (a^(-5))^4*a^22=a^(-20)*a^22=a^2
в)
д)
е)
ж)
а)
б) m^(5/6)*m^(1/2)=m^(4/3)=∛m^4=m√m
в) (a^(5/3))^(-9/10)=a^(3/2)=√a^3=a√a
г) (a^(-5))^4*a^22=a^(-20)*a^22=a^2
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