Question

(1/2-1/3)3÷(1/3-1/4)2×(3/2)2​

Answer 1

Ответ:

1) 1/2 - 1/3 = 3/6 - 2/6 = 1/6

2) (1/6)^3 = 1/6 * 1/6 * 1/6 = 1/216

3) 1/3 - 1/4 = 4/12 - 3/12 = 1/12

4) (1/12)^2 = 1/12 * 1/12 = 1/144

5) (3/2)^2 = 3/2 * 3/2 = 9/4

6) 1/216 : 1/144 = 1/216 * 144/1 =144/216 = 2/3

7) 2/3 * 9/4 = (1*3)/(1*2) = 3/2 = 1 целая 1/2 = 1,

Пошаговое объяснение:

Answer 2

Let's simplify the expression step by step:

(1/2 - 1/3)^3 ÷ (1/3 - 1/4)^2 × (3/2)^2

First, let's simplify the fractions inside the parentheses:

(1/6)^3 ÷ (1/12)^2 × (9/4)

Now, let's calculate the powers of the fractions:

(1/216) ÷ (1/144) × (9/4)

Now, let's divide the fractions and then multiply by (9/4):

(1/216) * (144/1) * (9/4)

Now, multiply the fractions:

(144/216) * (9/4)

Simplify the fractions further:

(2/3) * (9/4)

Now, multiply these fractions:

(18/12)

Finally, simplify the fraction:

3/2

So, the simplified result of the expression is 3/2.