Question

Упростить

$\frac{y^ \frac{5}{4}y^{- \frac{1}{8} } }{y^ \frac{5}{8} }$

$\frac{(c^{4.5})^{ \frac{1}{9} }}{(c^{0.6})^2c^{-2.7}}$

Answer 1

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