Question

(1-1/2)³:(1/3-1/4)²•(1/6)² помогите пожалуйста ​

Answer 1

Ответ:

решение смотри на фотографии

Answer 2

                                        Задача, приклад

(1-1/2)³:(1/3-1/4)²•(1/6)²

                                           Розв'язання:

Надо выполнить действия в скобках.

(1-(1/2))³ = (1/2)³ = 1/8.

(1/3-1/4)² = ((4-3)/12)² =(1/12)² = 1/144.

(1/6)² = 1/36.

Получаем ответ:

(1-1/2)³:(1/3-1/4)²•(1/6)²=(1/8)*(144/1)*(1/36) = 144/288 = 1/2.

Співпадає. Вираз правельний

Відповідь: 1/2

Answer 3

Mathematical Calculation

To solve the given expression (1-1/2)³:(1/3-1/4)²•(1/6)², we can follow these steps:

1. First, simplify the terms inside the parentheses and the division. 2. Then, perform the division and exponentiation operations.

Let's start by simplifying the expression step by step:

1. Simplify the terms inside the parentheses and the division: - (1-1/2) = 1/2 - (1/3-1/4) = (4-3)/(3*4) = 1/12 - (1/6)² = (1/6)*(1/6) = 1/36

2. Perform the division and exponentiation operations: - (1/2)³ = (1/2)*(1/2)*(1/2) = 1/8 - (1/12)² = (1/12)*(1/12) = 1/144

Now, we can substitute the simplified values back into the expression: - 1/8 ÷ 1/144 * 1/36

To simplify the division and multiplication: - 1/8 ÷ 1/144 = 1/8 * 144/1 = 18 - 18 * 1/36 = 18/36 = 1/2

So, the value of the given expression (1-1/2)³:(1/3-1/4)²•(1/6)² is 1/2.