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Verified answer
(a^3 . b^-2 . c^5)^2=> ----------------------
(a^-2 . b^7 . c^2)
(a^6 . b^-4 . c^10)
=> -----------------------
(a^-4 . b^14 . c^4)
(a^6.a^4.c^10)
=> --------------------
(b^4.b^14.c^4)
(a^10c^10)
=> ------------
(b^18c^4)
(a^10c^6)
=> -----------
(b^18)