Вправи 201 - 342 » 272

272. Знайдіть значення виразу: 1) 9–4 • 272 = (32)–4 • (33)2 = 3–8 • 36 = 3–8+6 = 3–2; 2) 32–5 : 64–4 = (25)–5 : (26)–4 = 325–25 : 2–24 = 2–25–(–24) = 2–1 = 1/2; 3) (27/9)–7 • ((3/5)–3)5 = (25/9)–7 • (3/5)–15 = ((5/3)2)–7 • (3/5)–15 = (5/3)–14 • (3/5)–15 = (3/5)14 • (5/3)15 = (3/5)14 • (5/3)14 • 5/3 = (3/5 • 5/3)14 • 5/3 = 1 • 5/3 = 5/3; 4) 8–2 : 0,54 = (23)–2 : (2–1)4 = 2–6 : 2–4 = 2–6–(–4) = 2–2 = 1/4; 5) (22^6 • 2^(-8))/(44^(-3) • 11^9 ) = (2^6 • 11^6 • 2^(-8))/( 2^(-3) • 2^(-3) • 11^(-3) • 11^9 ) = 2^12 • 2^(-8) = 24 = 16; 6) (10^(-2) • 15^(-4))/30^(-6) = (10^(-2) • 5^(-4) • 3^(-4))/(3^(-6) • 10^(-6) ) = (10^4 • 5^(-4))/3^(-2) = (〖2^4 • 5〗^4 • 5^(-4))/3^(-2) = 2^4 • 3^2 = 16 • 9 = 144.