Question

(6 1/2-5 1/8)³-(5 3/4-4 3/8)²×​

Answer 1

Ответ:

363/512≈0,7

Пошаговое объяснение:

(6 1/2-5 1/8)³=1331/512

(5 3/4-4 3/8)²=121/64

1331/512-121/64=363/512

Answer 2

To simplify the expression (6 1/2 - 5 1/8)³ - (5 3/4 - 4 3/8)², we'll first convert the mixed numbers into improper fractions and then perform the operations step by step.

Step 1: Convert mixed numbers to improper fractions. 6 1/2 = 13/2 5 1/8 = 41/8 5 3/4 = 23/4 4 3/8 = 35/8

Step 2: Perform the subtraction inside the parentheses. (13/2 - 41/8)³ - (23/4 - 35/8)²

Step 3: Simplify the fractions inside the parentheses. (26/8 - 41/8)³ - (46/8 - 35/8)²

Step 4: Perform the subtractions. (-15/8)³ - (11/8)²

Step 5: Cube the first term and square the second term. ((-15/8)³) - ((11/8)²)

Step 6: Calculate the values. (-3375/512) - (121/64)

Now, let's subtract these fractions: To subtract fractions, they need a common denominator, which is 512 in this case.

(-3375/512) - (121/64)

To make the denominators the same, we need to convert 121/64 into 512ths. We can do this by multiplying both the numerator and denominator by 8.

(-3375/512) - (121 * 8 / 64 * 8)

Now, we have:

(-3375/512) - (968/512)

Step 7: Subtract the fractions.

(-3375 - 968)/512

Step 8: Calculate the numerator.

-4343/512

Now, the expression is simplified to:

-4343/512