А) (3/64* 5 1/3 - 1/3) : (-1/3) в 3 ступени

1. (3/64 * 5 1/3 - 1/3) : (-1/3)^3 + (-1)^5 = 1 1/4.

1) 3/64 * 5 1/3 = 3/64 * (5 * 3 + 1)/3 = 3/64 * (15 + 1)/3 = 3/64 * 16/3 = (3 * 16)/(16 * 4 * 3) = 1/4;

2) 1/4 - 1/3 = 3/12 - 4/12 = -1/12;

3) (-1/3)^3 = (-1)^3/3^3 = -1/27;

4) -1/12 : (-1/27) = 1/12 * 27 = 27/12 = 2 3/12 = 2 1/4;

5) (-1)^5 = -1;

6) 2 1/4 - 1 = 1 1/4.

2. (12 3/4 * 2 - 27) : (-3/4)^3 = 3 5/9.

1) 12 3/4 * 2 = (12 * 4 + 3)/4 * 2 = (48 + 3)/4 * 2 = 51/4 * 2 = (51 * 2)/(2 * 2) = 51/2 = 25 1/2;

2) 25 1/2 - 27 = -1 1/2;

3) (-3/4)^3 = (-3)^3/4^3 = -27/64;

4) -1 1/2 : (-27/64) = (1 * 2 + 1)/2 * 64/27 = 3/2 * 64/27 = (3 * 2 * 32)/(2 * 3 * 9) = 32/9 = 3 5/9.