[tex]1)c^{3,8}\cdot c^{1,2}=c^{3,8+1,2}=c^5\\2)c^{-\frac{4}{9}\cdot\frac{11}{18}}=c^{-\frac{22}{81}}\\ 3)(c^\frac{15}{28} )^\frac{14}{45} =c^{\frac{15}{28} \cdot\frac{14}{45} }=c^\frac{1}{6}\\4)c^{\frac{5}{8}}\div c^{\frac{1}{6}}=c^{\frac{5}{8}-\frac{1}{6}}=c^{\frac{15}{24}-\frac{4}{24}}=c^{\frac{11}{24}}\\5)(c^{0,6})^6\cdot(c^{0,4})^{-7}\div(c^{-1,6})^{-3}=c^{0,6\cdot6}\cdot c^{0,4\cdot(-7)}\div c^{-1,6\cdot(-3)}=c^{3,6}\cdot c^{-2,8}\div c^{4,8}=\\=c^{3,6-2,8-4,8}=c^{3,6-7,6}=c^{-4}[/tex]
[tex]6)(b^{\frac{7}{30}}c^{\frac{3}{10} })^{\frac{10}{21} }=(b^{\frac{7}{30}})^{\frac{10}{21} }\cdot(c^{\frac{3}{10} })^{\frac{10}{21} }=b^{\frac{7}{30}\cdot\frac{10}{21} }\cdot c^{\frac{3}{10} \cdot\frac{10}{21} }=b^{\frac{1}{9} }\cdot c^{\frac{1}{7} }[/tex]
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[tex]1)c^{3,8}\cdot c^{1,2}=c^{3,8+1,2}=c^5\\2)c^{-\frac{4}{9}\cdot\frac{11}{18}}=c^{-\frac{22}{81}}\\ 3)(c^\frac{15}{28} )^\frac{14}{45} =c^{\frac{15}{28} \cdot\frac{14}{45} }=c^\frac{1}{6}\\4)c^{\frac{5}{8}}\div c^{\frac{1}{6}}=c^{\frac{5}{8}-\frac{1}{6}}=c^{\frac{15}{24}-\frac{4}{24}}=c^{\frac{11}{24}}\\5)(c^{0,6})^6\cdot(c^{0,4})^{-7}\div(c^{-1,6})^{-3}=c^{0,6\cdot6}\cdot c^{0,4\cdot(-7)}\div c^{-1,6\cdot(-3)}=c^{3,6}\cdot c^{-2,8}\div c^{4,8}=\\=c^{3,6-2,8-4,8}=c^{3,6-7,6}=c^{-4}[/tex]
[tex]6)(b^{\frac{7}{30}}c^{\frac{3}{10} })^{\frac{10}{21} }=(b^{\frac{7}{30}})^{\frac{10}{21} }\cdot(c^{\frac{3}{10} })^{\frac{10}{21} }=b^{\frac{7}{30}\cdot\frac{10}{21} }\cdot c^{\frac{3}{10} \cdot\frac{10}{21} }=b^{\frac{1}{9} }\cdot c^{\frac{1}{7} }[/tex]