![image](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D9%29%5E%7B-%5Cfrac%7B5%7D%7B4%7D%7D%3D%283%5E2%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%28-%5Cfrac%7B5%7D%7B4%7D%29%7D%3D3%5E%7B-%5Cfrac%7B2%5Ccdot+5%7D%7B3%5Ccdot+4%7D%7D%3D3%5E%7B-%5Cfrac%7B5%7D%7B6%7D%7D%5C%5C%5C%5C%5Csqrt%7B%5Cfrac%7B1%7D%7B3%7D%5Ccdot+9%5E%7B-%5Cfrac%7B2%7D%7B3%7D%7D%7D%3D%5Csqrt%7B3%5E%7B-1%7D%5Ccdot+3%5E%7B-%5Cfrac%7B2%5Ccdot+2%7D%7B3%7D%7D%7D%3D%5Csqrt%7B3%5E%7B-1-%5Cfrac%7B4%7D%7B3%7D%7D%7D%3D%283%5E%7B-%5Cfrac%7B7%7D%7B3%7D%7D%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%3D3%5E%7B-%5Cfrac%7B7%7D%7B6%7D%7D%5C%5C%5C%5CTak%5C%3B+kak%5C%3B+-%5Cfrac%7B5%7D%7B6%7D%3E-%5Cfrac%7B7%7D%7B6%7D%2C%5C%3B+to%5C%3B+3%5E%7B-%5Cfrac%7B5%7D%7B6%7D%7D%3E3%5E%7B-%5Cfrac%7B7%7D%7B6%7D%7D.)
-\frac{7}{6},\; to\; 3^{-\frac{5}{6}}>3^{-\frac{7}{6}}." alt="(\sqrt[3]9)^{-\frac{5}{4}}=(3^2)^{\frac{1}{3}(-\frac{5}{4})}=3^{-\frac{2\cdot 5}{3\cdot 4}}=3^{-\frac{5}{6}}\\\\\sqrt{\frac{1}{3}\cdot 9^{-\frac{2}{3}}}=\sqrt{3^{-1}\cdot 3^{-\frac{2\cdot 2}{3}}}=\sqrt{3^{-1-\frac{4}{3}}}=(3^{-\frac{7}{3}})^{\frac{1}{2}}=3^{-\frac{7}{6}}\\\\Tak\; kak\; -\frac{5}{6}>-\frac{7}{6},\; to\; 3^{-\frac{5}{6}}>3^{-\frac{7}{6}}." align="absmiddle" class="latex-formula">