Question

((1/3+7/9-5/12)×(1-16/ 25))2

Answer 1

Відповідь: 1/2

Покрокове пояснення:

((1/3+7/9-5/12)×(1-16/

25))2=(25/36×9/25)2=2/4=1/2

Answer 2

To solve the expression, let's follow the order of operations (PEMDAS/BODMAS):

1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Step 1: Solve the expression inside the parentheses first. (1/3 + 7/9 - 5/12) = (4/12 + 4/12 - 5/12) = 3/12 = 1/4

Step 2: Next, calculate the expression inside the second set of parentheses. (1 - 16/25) = (25/25 - 16/25) = 9/25

Step 3: Now, multiply the results from Step 1 and Step 2. (1/4) * (9/25) = 9/100

Step 4: Finally, square the result from Step 3. (9/100)^2 = (9/100) * (9/100) = 81/10000

So, the final result of the expression ((1/3 + 7/9 - 5/12) * (1 - 16/25))^2 is 81/10000.