Роздiл 2. Вирази i тотожностi » 255

Спростіть вираз: 1) (a8с4)3 : (a6с3)2 = a24с12 : a12с6 = a12с6; 2) (n11m2)3 • (nm3)2 = n33m6 • n2m6 = n35m12; 3) (a5 : c2)3 • (a : c2)2 = (a15 : c6) • (a2 : c4); 4) (n7m8)3 : (n2m2)2 = n21m24 : n4m4 = n17m20; 5) (a15a4)3 • (a10a3)2 = (a19)3 • (a13)2 = a57 • a26 = a83; 6) (abс2)9 : (a3с)2 = a9b9с18 : a6с2 = a3b9с16; 7) (n11m2p)5 • (np)2 = n55m10p5 • n2p2 = n57m10p7; 8) (4aс2)3 : (2aс)2 = 26a3с6 : 22a2с2 = 24aс4; 9) (9n8m2)3 : (81n4m2)3 = 36n24m6 : 312n12m6 = 36–12n12; 10) (25a4b3)2 : (5a3b2)2 = 54a8b6 : 52a6b4 = 52a2b2.