Вправи 201 - 342 » 273

273. Виконайте дії та зведіть отриманий вираз до вигляду, який не містить степеня з від’ємним показником: 1) 4x8 • (–3x2y4)–2 = 4x8 • (–3)–2x4y–8 = 4/9x12y–8; 2) (13m^(-10))/(12n^(-8) ) • 27n/(26m^2 ) = (13m^(-10) • 27^9 n)/(12n^(-8) •26m^2 ) = (9n^9)/(8m^12 ); 3) (18p^(-6) k^2)/7 : (15k^(-2))/p^6 = (18p^(-6) k^2 • p^6)/(7 • 15 • k^(-2) ) = (6k^4)/35; 4) –2,4a–4b3 • (–2a–3c–5)–3 = –2,4a–4b3 • (–2)–3a9c15 = 2,4 • (–1/8)a5b18 = –0,3a5b18; 5) (–10x–2yz–8)–2 • (0,1yx–4)–2 = (–10)–2x4y–2z16 • (1/10)–2y–2z8 = (–10 • 1/10)–2x4y–4z24 = (x^4 z^24)/y^4 ; 6) 17/9m–6n • (11/3m–1n–4)–3 = 16/9 • m–6n • (4/3)–3 m3n12 = 16/9 • (3/4)3 m–3n13 = (16 • 27)/(9 • 64)m–3n13 = (3n^13)/(4m^3 ); 7) (–1/6a–3b–6)–3 • (–6a2b9)–2 = (–1/6)–3a9b18 • (–6)–2a–4b–18 = –63 • 6–2a5b0 = –6a5; 8) ((7p^(-3))/(5k^(-1) ))–2 • 49m–6n4 = ((5k^(-1))/(7p^(-3) ))2 • 49m–6n4 = (25k^(-2) • 49m^(-6) n^4)/(49p^(-3) ) = (25n^4 p^6)/(k^2 m^6 ).