Question

18*(1/9)в кубе -20*1/9

Answer 1

Ответ:

- 2 16/81.

Пошаговое объяснение:

18 • (1/9)³ - 20 • 1/9 =

= (2•9)/9³ - 20/9 = 2/81 - 180/81 = - 178/81 = - 2 16/81.

Или так:

1) (1/9)³ = 1/729;

2) 18 • 1/729 = 18/729 = 2/81;

3) 20 • 1/9 = 20/9 = 2 2/9;

4) 2/81 - 2 2/9 = - (2 18/81 - 2/81) =

= - 2 16/81.

Answer 2

To simplify the expression, let's perform the calculations step by step.

First, let's simplify the multiplication:

18 * (1/9) = 18/9 = 2

Next, let's cube the result:

2^3 = 2 * 2 * 2 = 8

Now, let's simplify the second part of the expression:

20 * (1/9) = 20/9

Finally, subtract the second part from the first part:

8 - (20/9)

To subtract fractions, we need a common denominator. The denominator of the first part is 1, so we can rewrite the expression as:

8/1 - (20/9)

To subtract fractions with different denominators, we need to find a common denominator, which in this case is 9:

(8 * 9)/9 - (20/9) = 72/9 - 20/9

Now that we have a common denominator, we can subtract the fractions:

(72 - 20)/9 = 52/9

Therefore, the simplified expression is 52/9.