Вправи: 458

458. Спрости вираз.

а) 0,5х^–6y² • 4х⁷y^–2 = 2ху⁰ = 2х;

б) 8а^–2b³ • 0,25а⁵b^–1 = 2а³b²;

в) 9а⁶b^–2 : (–3а²b^–5) = –За⁴b³.

г) 12x27y7 • 14y93x-2 = 4 • 2 • x⁴y² = 8x⁴y²;

ґ) 16a4b6c7 : 8b6c-63a-2 = 16a4b6 • 3a-2c7 • 8b6c-6 = 2a² • 3 • c^–1 = 6a²c^–1;

д) (a-3b45) • (10a-2b3)^–3 = a-3b45 • 10-3a6b-9 = b4 • b9a3 •5 • 103a6 = b135000a9;

е) 4a⁷c^–1 • (ac5)^–1 = 4a⁷c^–1 • 5ac = 4 • 5 • a7ac2 = 20a6c2;

є) a-29c2 : (3a2c-2)^–3 = 19a2c2 : (c-23a2)³ = 19a2c2 : c-627a6 = 27a69a2c2c-6 = 3a4c-4 = 3a⁴c⁴;