Question

Решить1/3*(-3)^3+1/2*(-3)^2 - 2*(-3)-1/3

Answer 1

Ответ смотри на фото.

Answer 2

To solve the given expression:

1/3*(-3)^3 + 1/2*(-3)^2 - 2*(-3) - 1/3

Let's simplify each part of the expression step by step.

First, let's calculate the value of each term:

(-3)^3 = (-3) * (-3) * (-3) = -27 (-3)^2 = (-3) * (-3) = 9 2 * (-3) = -6

Now, let's substitute these values back into the expression:

1/3 * (-27) + 1/2 * 9 - (-6) - 1/3

Next, let's simplify the fractions:

(1/3) * (-27) = -27/3 = -9 (1/2) * 9 = 9/2

Now, the expression becomes:

-9 + 9/2 - (-6) - 1/3

To simplify further, let's convert the mixed numbers to fractions:

-9 = -9/1 -6 = -6/1

The expression now becomes:

-9/1 + 9/2 + 6/1 - 1/3

To add the fractions, we need a common denominator. The least common multiple (LCM) of 1, 2, and 3 is 6. Let's convert all fractions to have a denominator of 6:

-9/1 = -54/6 9/2 = 27/6 6/1 = 36/6 1/3 = 2/6

Now, the expression becomes:

-54/6 + 27/6 + 36/6 - 2/6

Combining the fractions:

(-54 + 27 + 36 - 2) / 6 = 7/6

Therefore, the solution to the expression 1/3*(-3)^3 + 1/2*(-3)^2 - 2*(-3) - 1/3 is 7/6.