Вправи: 402

402. Спростіть вираз:

1) 27a-7c5 • (9a-10c3)^–1 = 27a-7c5 • c39a-10 = 3a³c^–2;

2) (a32c4b-8)⁴ : (a-60,5c-15)^–2 = a1216c16b-32 : a12(12)-2c30 = a1216c16b-32 • 4c30a12 = 0,25b³²c¹⁴;

3) (a72m-1n-2)^–6 : (0,5n5m-3p)^–2 = a-422-6m6n12 : (12)2n-10m6p-2 = 64a-42m6n12 • m6p-24n-10 = 16a^–42n^–2p^–2;

4) (4x-77y-9z2)^–10 • (3116xy-1z)^–5 = (7y-9z24x-7)¹⁰ • (y-1z4916x)⁵ = 710y-90z20410x-70 • y-5z5((74)2)5x5 = 710y-90z20• y-5z5410• x-70• 710410x5 = y-95z25x-65 = x⁶⁵y^–95z²⁵.