a)
((6^{-4}*6^5)^{-2}:6^2)^{-2} = ((6^1)^{-2} : 6^2)^{-2} = (6^{-2-2})^{-2} = (6^{-4})^{-2} = 6^8
b)
2^{18} * 8^{-4} : 16 = 2^{18} * (2^3)^{-4} : 2^{4} = 2^{18} * 2^{-12} : 2^4 = 2^6 : 2^4 = 2^2 = 4
c)
27^{-4} : 81^{-3} * 9^{12} = 2^3 * 3^{18} = (3^3)^{-4} : (3^4)^{-3} * (3^2)^{12} = 3^{-12} : 3^{-12} * 3^{24} =
= 3^{-12+12} * 3^{24} = 3^{0+24} = 3^{24}
d)
[(125)^{-3} * (-5)^4 * (-5)^2] / [625^{-3} : 5^{-1}] = [(5^3)^{-3} * 5^4 * 5^2] / [(5^4)^{-3} : 5^{-1}] = [5^{-9} * 5^6] / [5^{-12} : 5^{-1}] = 5^{-3} / 5^{-12+1}]= 5^{-3} / 5^{-11} = 5^{-3+11} = 5^8
/ kreska ułamkowa
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