Решение:

а) $$ \frac{(abc)^2 \cdot (bc)^2}{(ac^2)^6} = \frac{a^2b^2c^2 \cdot b^2c^2}{a^6c^{12}} = \frac{a^2b^4c^4}{a^6c^{12}} = \frac{b^4}{a^{6-2}c^{12-4}} = \frac{b^4}{a^4c^8} $$ б) $$ \frac{(ab)^6 \cdot (bc)^6}{(abc)^{12}} = \frac{a^6b^6 \cdot b^6c^6}{a^{12}b^{12}c^{12}} = \frac{a^6b^{12}c^6}{a^{12}b^{12}c^{12}} = \frac{1}{a^{12-6}c^{12-6}} = \frac{1}{a^6c^6} $$ в) $$ \frac{(ab)^2 \cdot (bc)^4 \cdot (ac)^4}{(ab)^4 \cdot (bc)^6 \cdot (ac)^4} = \frac{a^2b^2 \cdot b^4c^4 \cdot a^4c^4}{a^4b^4 \cdot b^6c^6 \cdot a^4c^4} = \frac{a^6b^6c^8}{a^8b^{10}c^{10}} = \frac{1}{a^{8-6}b^{10-6}c^{10-8}} = \frac{1}{a^2b^4c^2} $$ Ответ: а) $$ \frac{b^4}{a^4c^8} $$ б) $$ \frac{1}{a^6c^6} $$ в) $$ \frac{1}{a^2b^4c^2} $$