Вправи: 278

278. Спростіть вираз:

1) 3a^–3 • 4a^–4 = 12a^–7; 2) 10b-415b-5 = 2b3; 3) (2c^–6)⁴ = 16c^–24;

4) m^–2n • mn^–2 = m^–1n^–1;

5) abc^–1 • ab^–1c = a²b⁰c⁰ = a²; 6) kp-6k4p4 = 1k4p10;

7) (c^–6d²)^–7 == c⁴²d^–14; 8) 13a^–3b^–6 • 67a⁷b⁴ = 27a⁴b^–2;

9) 0,2c^–3d⁵ • 1,5c^–2d^–5 = 0,3c^–5d⁰ = 0,3c^–5;

10) 4x⁸ • (–3x²y⁴)^–2 = 4x⁸ • (–3)^–2x⁴y^–8 = 49x¹²y^–8;

11) 13m-1012n-8 • 27n26m2 = 13m-10 • 279n12n-8 •26m2 = 9n98m12;

12) 18p-6k27 : 15k-2p6 = 18p-6k2 • p67 • 15 • k-2 = 6k435.