Вправи 301 - 400 » 392

392. Спростіть вираз: 1) x/y • (2x/y)–1 = x/y • y/2x = 1/2; 2) p/n • (m/n)–2 = p/n • m^(-2)/n^(-2) = p/n • n^2/m^2 = pn/m^2 ; 3) (a/b)–3 • (b/a)–2 = (b/a)3 • (a/b)2 = b^3/a^3 • a^2/b^2 = b/a; 4) a^(-1)/c^3 • (2a/c)–2 = a^(-1)/c^3 • (c/2a)2 = a^(-1)/c^3 • c^2/〖4a〗^2 = 1/(〖4a〗^3 c); 5) (8/(b+1))–1 • ((b+1)/2)–5 = (b+1)/8 • (2/(b+1))5 = ((b+1)•32)/〖8•(b+1)〗^5 = 4/〖(b+1)〗^4 ; 6) (10/(y+ x))–1 • ((y+ x)/2)–3 = (y+ x)/10 • (2/(y+ x))3 = 〖(y+ x)•2〗^3/(10•(y+ 〖x)〗^3 ) = 8/〖10(y+ x)〗^2 = 4/〖5(y+ x)〗^2 .