Question

(1 1/2)²-(1/3)²+(4/7)⁰+(-1)³​

Answer 1

Ответ:

Объяснение:

(1 1/2)²-(1/3)²=(3/2)²-(1/3)²=9/4-1/9=81/36-4/36=77/36=2 5/36

2 5/36+(4/7)⁰=2 5/36+1=3 5/36

3 5/36+(-1)³=3 5/36-1=2 5/36

Answer 2

To simplify the given expression:

(1 1/2)² - (1/3)² + (4/7)⁰ + (-1)³

Step 1: Simplify the mixed number (1 1/2) to an improper fraction: (1 1/2) = (3/2)

Now the expression becomes: (3/2)² - (1/3)² + (4/7)⁰ + (-1)³

Step 2: Calculate the exponents: (3/2)² = (3/2) * (3/2) = 9/4

(1/3)² = (1/3) * (1/3) = 1/9

(4/7)⁰ = 1 (any number raised to the power of 0 is 1)

(-1)³ = -1 (the cube of -1 is -1)

Now the expression becomes: 9/4 - 1/9 + 1 + (-1)

Step 3: Combine the fractions: The common denominator for 9/4 and 1/9 is 36.

(9/4) * (9/9) = 81/36 (1/9) * (4/4) = 4/36

Now the expression becomes: 81/36 - 4/36 + 1 + (-1)

Step 4: Combine the fractions and simplify: 81/36 - 4/36 = 77/36

Now the expression becomes: 77/36 + 1 + (-1)

Step 5: Add the fractions: 77/36 + 1 = 77/36 + 36/36 = 113/36

Now the expression becomes: 113/36 + (-1)

Step 6: Add the fractions: 113/36 + (-1) = 113/36 - 36/36 = 77/36

Therefore, the simplified value of the expression (1 1/2)² - (1/3)² + (4/7)⁰ + (-1)³ is 77/36.