Вправи 201 - 300 » 213

213. Виконайте ділення: 1) 1/(a^2 b) : 1/ab^2 = 1/(a^2 b) • ab^2/1 = ab^2/(a^2 b) = b/a; 2) 1/xy : 2/y^3 = 1/xy • y^3/2 = y^3/(xy •2) = y^3/2x; 3) 〖4x〗^3/5 : 〖8x〗^4/3 = 〖4x〗^3/5 • 3/〖8x〗^4 = (〖4x〗^3 •3)/〖5 •8x〗^4 = 3/10x; 4) 3/(〖2a〗^3 b) : 9/(〖4a〗^2 b^2 ) = 3/(〖2a〗^3 b) • (〖4a〗^2 b^2)/9 = (〖3 •4a〗^2 b^2)/(〖2a〗^3 b •9) = 2b/3a; 5) (〖5x〗^3 y)/2 : (〖15x〗^2 y^2)/8 = (〖5x〗^3 y)/2 • 8/(〖15x〗^2 y^2 ) = (〖5x〗^3 y •y)/(2 • 〖15x〗^2 y^2 ) = 4x/3y; 6) 〖4x〗^4/9y : 〖16x〗^2/〖3y〗^2 = 〖4x〗^4/9y • 〖3y〗^2/〖16x〗^2 = (〖4x〗^4 • 〖3y〗^2)/(9y • 〖16x〗^2 ) = (x^2 y)/12.