Вправи 301 - 400 » 386

386. Спростіть вираз: 1) (1 – y)2 • (1 – y)–2 = (1 – y)0 = 1; 2) (a – b)–5 • (a – b)3 = (a – b)–2; 3) (x – y)–4 • (x – y)–6 = (x – y)–10; 4) 〖(y+4)〗^(-2)/〖(y+4)〗^3 = (y + 4)–2 • (y + 4)–3 = (y + 4)–5; 5) 〖(c+1)〗^(-2)/〖(c+1)〗^(-4) = (c + 1)–2 • (c + 1)4 = (c + 1)2; 6) (x^5•〖(x+ y)〗^(-3))/(〖(x+ y)〗^(-5)•x) = x4 • (x + y)–3 • (x + y)5 = x4 • (x + y)2; 7) m^6/a^(-8) : m^(-2)/a^3 = m^6/a^(-8) • a^3/m^(-2) = a3 • a8 • m6 • m2 = a11m8; 8) 〖4(a+1)〗^(-18)/c^9 : c^(-2)/〖(a+1)〗^(-22) = 〖4(a+1)〗^(-18)/c^9 • 〖(a+1)〗^(-22)/c^(-2) = 〖4(a+1)〗^(-40)/c^7 ; 9) 〖(x- y)〗^(-2)/y • y^(-5)/〖(x- y)〗^7 • 〖(x- y)〗^5/y^(-3) = (y^(-5)•〖(x- y)〗^3)/(y^(-2) 〖(x- y)〗^7 ) = y^3/〖(x- y)〗^4 .