Вправи: 457

457. Спрости вираз.

а) 0,2х^–3 • 5х²у³ = х^–1у³ = y3x;

б) 3^–3а^–1х • 81а²х = 3ах²;

в) 0,2с^–5x • 5^–2 • c³x^–1 = 210 • 112c^–2x⁰ = 1125c2;

г) 27x-1y210 • 5x69y-4 = 3x5y62 = 1,5x⁵y⁶;

ґ) 3x84y3z-2 : x7y-412z-2 = 3x8 • 12z-24y3z-2 • x7y-4 = 9xy.

д) (x2y-36z)^–3 : (x3y-59z)^–2 = x-6y96-3z-3 : (x-6y10 9-2z-2) = x-6y9 • 9-2 • z-26-3z-3 • x-6y10 = 3-42-3• 3-3yz-1 = 3-1z2-3y = 8z3y;

е) (2a^–2x³)² • (ax)⁶ = 4a-4x6 • a6x6 = 4a2;

є) (x^–1y) : (y22x2)^–1 = (yx) : (2x2y2) = yx • y22x2 = y32x3.