Question

(1-1\2)степень3:(1/3-1/4)степень2*(1/6)степень2

Answer 1

(1-1\2)³=(1/2)³=1/8
(1/3-1/4)²=4/12-3/12=(1/12)²=1/144
(1/6)²=1/36
1/8:1/144=1/8*144=18
18*1/36=1/2

Answer 2

To simplify the expression, let's start by evaluating the individual parts step by step:

1. (1 - 1/2)^3: We'll start by simplifying the base inside the parentheses. (1 - 1/2) = 1/2

   Now, we'll raise 1/2 to the power of 3: (1/2)^3 = 1/2 * 1/2 * 1/2 = 1/8

2. (1/3 - 1/4)^2: We'll start by simplifying the expression inside the parentheses. (1/3 - 1/4) = (4/12 - 3/12) = 1/12

   Now, we'll raise 1/12 to the power of 2: (1/12)^2 = (1/12) * (1/12) = 1/144

3. (1/6)^2: We'll raise 1/6 to the power of 2: (1/6)^2 = (1/6) * (1/6) = 1/36

Now, let's combine the results:

(1 - 1/2)^3 : (1/3 - 1/4)^2 * (1/6)^2 = (1/8) : (1/144) * (1/36)

To divide fractions, we multiply by the reciprocal of the divisor:

(1/8) : (1/144) * (1/36) = (1/8) * (144/1) * (36/1) = 144/8 * 36

Now, simplify the fraction:

144/8 * 36 = 18 * 36 = 648

So, the final result of the expression is 648.