Question

(1- 1/2)3 : (1/2 - 1/4)2 * (1/6)2= ?

Answer 1

(1- 1/2)³=1/2³=1/8
(1/2 - 1/4)²=(2/4-1/4)²=1/4²=1/16
(1/6)²=1/36
1/8:1/16=1/8*16=2
2*1/36=1/18

Answer 2

Let's solve the expression step-by-step:

Step 1: Evaluate (1 - 1/2)^3 (1 - 1/2) = 1/2 (1/2)^3 = (1/2) * (1/2) * (1/2) = 1/8

Step 2: Evaluate (1/2 - 1/4)^2 (1/2 - 1/4) = 1/4 (1/4)^2 = (1/4) * (1/4) = 1/16

Step 3: Evaluate (1/6)^2 (1/6)^2 = (1/6) * (1/6) = 1/36

Now, let's put everything together:

(1 - 1/2)^3 : (1/2 - 1/4)^2 * (1/6)^2 = (1/8) : (1/16) * (1/36)

To divide by a fraction, we multiply by its reciprocal:

= (1/8) * (16/1) * (36/1)

Now, simplify the expression:

= (1 * 16 * 36) / (8 * 1 * 1) = 576 / 8

Finally, simplify the fraction:

= 72

So, the result of the expression is 72.