Розділ 1. РАЦІОНАЛЬНІ ВИРАЗИ » 10.22

10.22 Обчисліть: 1) 128 • 2–5 = 27 • 2–5 = 22 = 4; 2) 81 • (3–2)3 = 34 • 3–6 = 3–2 = 1/9; 3) 7–8 • 3433 : 49 = 7–8 • (73)3 : 72 = 7–8+9–2 = 7–1 = 1/7; 4) 36–2 • (1/6)–6 = (62)–2 • (6–1)–6 = 6–4 • 66 = 62 = 36; 5) (100^(-2) •〖 10〗^(-7))/1000^(-3) = ((10^2 )^(-2) • 10^(-7))/((10^3 )^(-3) ) = (10^(-4) • 10^(-7))/10^(-9) = 10^(-11)/10^(-9) = 10–2 = 1/100; 6) (5^(-3) • 25^8)/125^6 = (5^(-3) •(5^2 )^8)/((5^3 )^5 ) = (5^(-3) • 5^16)/5^15 = 5^13/5^15 = 5–2 = 1/25.