Question

(1-½)³:(⅓-¼)²•(1/6)²=

Answer 1

1) (1- 1/2)³=0,5³=0,125
2) (1/3-1/4)²=1/9-1/6+1/16=(6*16-9*16+9*6)/864=6/864=3/432
3) (125*432)/1000*3=18
4) 18*(1/6)²=18/36=1/2.

Ответ: 1/2.

Answer 2

To simplify the expression (1-½)³:(⅓-¼)²•(1/6)², we'll perform the operations step by step:

Step 1: Simplify the expressions inside the parentheses first. 1 - ½ = ½ ⅓ - ¼ = ¼

Step 2: Evaluate the powers. (½)³ = ½ * ½ * ½ = 1/8 (¼)² = ¼ * ¼ = 1/16 (1/6)² = (1/6) * (1/6) = 1/36

Step 3: Perform the division first and then the multiplication. (1/8) / (1/16) * (1/36) = (1/8) * (16/1) * (36/1) = 2 * 16 * 36 = 1152

Therefore, (1-½)³:(⅓-¼)²•(1/6)² = 1152.