Упростите выражение: (c^2*c)^3:(c^3*c)^2.

Ответ:

\[\left( c^{2} \cdot c \right)^{3}\ :\left( c^{3} \cdot c \right)^{2} =\]

\[= c^{6} \cdot c^{3}\ :\left( c^{6} \cdot c^{2} \right) =\]

\[= c^{6 + 3}\ :c^{6 + 2} =\]

\[= c^{9}\ :c^{8} = c^{9 - 8} = c^{1} = c.\]