Упростить [latex] frac{y^ frac{5}{4}y^{- frac{1}{8} } }{y^ frac{5}{8} } [/latex] [latex] frac{(c^{4.5})^{ frac{1}{9} }}{(c^{0.6})^2c^{-2.7}} [/latex]

[latex]cfrac{y^ frac{5}{4}y^{- frac{1}{8} } }{y^ frac{5}{8} }= y^ {frac{5}{4}- frac{1}{8} - frac{5}{8} }=y^ {frac{5}{4}- frac{6}{8} }= y^ {frac{5}{4}- frac{3}{4} }=y^ {frac{2}{4}}=y^ {frac{1}{2}}= sqrt{y} \ cfrac{(c^{4.5})^{ frac{1}{9} }}{(c^{0.6})^2c^{-2.7}} =cfrac{c^ frac{4.5}{9}}{c^{0.6cdot2}c^{-2.7}} =cfrac{c^ {0.5}}{c^{1.2}c^{-2.7}} =cfrac{c^ {0.5}}{c^{1.2-2.7}} = cfrac{c^ {0.5}}{c^{-1.5}} =c^{0.5+1.5}=c^2[/latex]