Вправа 401 - 500 » 457

457. Спрости вираз. а) 0,2х–3 • 5х2у3 = х–1у3 = y^3/x; б) 3–3а–1х • 81а2х = 3ах2; в) 0,2с–5x • 5–2 • c3x–1 = 2/10 • 1/12c–2x0 = 1/〖125c〗^2 ; г) (〖27x〗^(-1) y^2)/10 • 〖5x〗^6/〖9y〗^(-4) = (〖3x〗^5 y^6)/2 = 1,5x5y6; ґ) 〖3x〗^8/(〖4y〗^3 z^(-2) ) : (x^7 y^(-4))/〖12z〗^(-2) = (〖3x〗^8 • 〖12z〗^(-2))/(〖4y〗^3 z^(-2) • x^7 y^(-4) ) = 9xy. д) ((x^2 y^(-3))/6z)–3 : ((x^3 y^(-5))/9z)–2 = (x^(-6) y^9)/(6^(-3) z^(-3) ) : ((x^(-6) y^10 )/(9^(-2) z^(-2) )) = (x^(-6) y^9 • 9^(-2) • z^(-2))/(6^(-3) z^(-3) • x^(-6) y^10 ) = 3^(-4)/(2^(-3)• 3^(-3) yz^(-1) ) = (3^(-1) z)/(2^(-3) y) = 8z/3y; е) (2a–2x3)2 • (a/x)6 = (〖4a〗^(-4) x^6 • a^6)/x^6 = 4a^2; є) (x–1y) : (y^2/〖2x〗^2 )–1 = (y/x) : (〖2x〗^2/y^2 ) = y/x • y^2/〖2x〗^2 = y^3/〖2x〗^3 .