Question

Как решить 1 13/23*((2/3)во 2 степени)-(1/2)в 3 степени)

Answer 1

1 13/23 * ((2/3) во 2 степени - (1/2) в 3 степени) = 1/2

1) (2/3) во 2 степени = 2/3 * 2/3 = 4/9
2) (1/2) в 3 степени = 1/2 * 1/2 * 1/2 = 1/8
3) 4/9 - 1/8 = 32/72 - 9/72 = 23/72
4) 1 13/23 * 23/72 = 36/23 * 23/72 = (1*1)/(1*2) = 1/2

Пояснения:
4/9 = (4*8)/(9*8) = 32/72 - доп.множ. 8
1/8 = (1*9)/(8*9) = 9/72 - доп.множ. 9
1 13/23 = (1*23+13)/23 = 36/23