Вправи: 401 (1-3)

401. Спростіть вираз:

1) 16x-5y-12 • (y162x-4z9)⁵ = 16x-5y-12 • y8032x-20z45 = x-5• y802y-12• x-20• z45 = 0,5x¹⁵y⁹²z^–45;

2) (x-1y-4z7)^–5 : (xy10z-20)³ = x5y20z-35 : x3y30z-60 = x5y20z-35 • y30z-60x3 = x²y¹⁰z^–25;

3) (2x3y4z-5)² • (x80,25y-9)^–2 = 4x6y8z-10 • (x814y-9)^–2 = 4x6y8z-10 • x-1616y18 = 0,25x^–10y^–26z¹⁰;

4) (2x-25y6z11)^–2 : (0,2x-2y-5z0)^–3 = (5y6z112x-2)² : (y-5 •115x-2)³ = 25y12z224x-4 : y-15 •1(15)3 • x-6 = 25y12z224x-4 : 125y-15x-6 = 25y12z224x-4 • x-6125y-15 = y12z22x-620x-4y-15 = 0,05x^–2y²⁷z²²;

5) (x-156y6)^–2 : (x-203y9)^–2 = (6y6x-15)² : (3y9x-20)² = 36y12x-30 : 9y18x-40 = 36y12x-30 • x-409y18 = 4x^–10y^–6;

6) (123a-2b6)^–1 : (0,6a-8b-3)² = b653a-2 : (35a-8b-3)² = 3b65a-2 : 925a-16b-6 = 3b65a-2 : 9a-1625b-6 = 3b65a-2 • 25b-69a-16 = 5b03a-18 = 53a¹⁸ = 123a¹⁸.