(a1/2 *a1/3)в 6 степени при a=(1/3)в 2/5 степени
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при![a=(\frac{1}{3})^{\frac{2}{5}}:\\ (a^{\frac{1}{2}}*a^{\frac{1}{3}})^6=(a^{\frac{1}{2}+\frac{1}{3}})^6=(a^{\frac{5}{6}})^6=a^{\frac{5}{6}*6}=a^5=(\frac{1}{3})^{\frac{2}{5}})^5=(\frac{1}{3})^2=\frac{1}{9} a=(\frac{1}{3})^{\frac{2}{5}}:\\ (a^{\frac{1}{2}}*a^{\frac{1}{3}})^6=(a^{\frac{1}{2}+\frac{1}{3}})^6=(a^{\frac{5}{6}})^6=a^{\frac{5}{6}*6}=a^5=(\frac{1}{3})^{\frac{2}{5}})^5=(\frac{1}{3})^2=\frac{1}{9}](https://tex.z-dn.net/?f=a%3D%28%5Cfrac%7B1%7D%7B3%7D%29%5E%7B%5Cfrac%7B2%7D%7B5%7D%7D%3A%5C%5C%20%28a%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%2Aa%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%29%5E6%3D%28a%5E%7B%5Cfrac%7B1%7D%7B2%7D%2B%5Cfrac%7B1%7D%7B3%7D%7D%29%5E6%3D%28a%5E%7B%5Cfrac%7B5%7D%7B6%7D%7D%29%5E6%3Da%5E%7B%5Cfrac%7B5%7D%7B6%7D%2A6%7D%3Da%5E5%3D%28%5Cfrac%7B1%7D%7B3%7D%29%5E%7B%5Cfrac%7B2%7D%7B5%7D%7D%29%5E5%3D%28%5Cfrac%7B1%7D%7B3%7D%29%5E2%3D%5Cfrac%7B1%7D%7B9%7D%20)