Question

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

Answer 1

$(1-\frac{1}{2} )*3:(\frac{1}{3} -\frac{1}{4} )*2*\frac{1}{6} *2=\frac{3}{2} :\frac{4-3}{12} *\frac{2*2}{6} =\frac{3}{2} :\frac{1}{12} *\frac{4}{6} =\frac{3*12*4}{2*6} =12$

Answer 2

Let's solve the expression step by step:

(1-1/2)^3 : (1/3-1/4)^2 * (1/6)^2

Step 1: Simplify the expressions inside the parentheses first.

(1 - 1/2) = 1/2 (1/3 - 1/4) = (4/12 - 3/12) = 1/12 (1/6)^2 = (1/6) * (1/6) = 1/36

Step 2: Perform the operations inside the parentheses.

(1/2)^3 : (1/12)^2 * 1/36

Step 3: Simplify the exponents.

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

Step 4: Invert and multiply (division by a fraction is the same as multiplying by its reciprocal).

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

Step 5: Simplify the expression.

144/288 = 1/2

So, the final answer is 1/2.