Найдите значение выражения: а) 6*8 (в степени) -1/3 б) (36^3/125^2)^1/6 d) (0,216^8/27)^9/4

а) 6 * 8^(-1/3) = 6/8^(1/3) = 6/3√8 = 6/2 = 3;

Ответ: 3.

б) (36^3/125^2)^1/6 = 36^(3 * 1/6)/125^(2 * 1/6) = 36^(1/2)/125^(1/3) = √36/3√125 = 6/5;

Ответ: 6/5.

d) (0,216^8/27)^9/4 = 0,216^(8/27 * 9/4) = 0,216^(2/3) = (216/1000)^(2/3) = (6/10)^2 = 36/100 = 0,36;

Ответ: 0,36.