Question

(1/2) ³•(3 1/3-2 8/9) ²

Answer 1

Ответ:

4225/648=6,5.........

Answer 2

To solve this expression, let's break it down step by step:

Step 1: Simplify the exponent with fractions First, let's simplify the exponent, which involves fractions and exponents.

(3 1/3 - 2 8/9)²

Convert the mixed numbers to improper fractions: 3 1/3 = (3 * 3 + 1) / 3 = 10/3 2 8/9 = (2 * 9 + 8) / 9 = 26/9

Now subtract the second fraction from the first: (10/3 - 26/9) = (30/9 - 26/9) = 4/9

So, the exponent simplifies to (4/9)².

Step 2: Calculate the exponent (4/9)² = (4²) / (9²) = 16 / 81

Step 3: Apply the exponent to the base fraction Now, we'll deal with the base fraction (1/2)³.

(1/2)³ = 1³ / 2³ = 1/8

Step 4: Multiply the results of the exponent and the base fraction Multiply the result from Step 2 by the result from Step 3:

(16/81) * (1/8) = 16 / (81 * 8) = 16 / 648

So, the final result is 16/648, which can be simplified further if needed.