Вправи 301 - 400 » 365

365. Спростіть вираз: 1) ((a–1 • a)–1 • a)–1 • a = ((a0)–1 • a)–1 • a = (1–1 • a)–1 • a = (1 – a)–1 • a = a–1 • a = a0 = 1; 2) ((a–2 • a2)–5 • a2)–1 = ((a0)–5 • a2)–1 = (1–5 • a2)–1 = (1 • a2)–1 = a–2; 3) ((x3 • x–7)–5 • x–1)10 = ((x–4)–5 • x–1)10 = (x20 • x–1)10 = (x19)10 = x190; 4) ((x–9 : x–1)–1 : x7) : x10 = ((x–8)–1 : x7) : x10 = (x8 : x7) : x10 = x : x10 = x–9. 5) (((x–3)–1 • b3)–4 a12)2 • b20 = ((x3 • b3)–4a12)2 • b20 = (a–12b–12a12)2 • b20 = a–24b–24a24b20 = a0 • b–4 = 1 • b–4 = b–4; 6) (a • (a/b)–2)–1 : ((a/b)–1 • b)2 = a–1 • (a/b)2 : (b/a • b)2 = a–1 • a^2/b^2 : (b^2/a)2 = a/b^2 : b^4/a^2 = a/b^2 • a^2/b^4 = a^3/b^6 .