Evaluating the Mathematical Expression: 1/3 x 3.14 x 6^2 x 14
When faced with a complex mathematical expression, it's essential to follow the order of operations (PEMDAS) to ensure accuracy. In this case, we'll evaluate the expression: 1/3 x 3.14 x 6^2 x 14.
Step 1: Evaluate the Exponentiation
First, let's evaluate the exponentiation operation: 6^2. This means raising 6 to the power of 2, resulting in:
6^2 = 36
Step 2: Multiply by 1/3
Next, multiply 36 by 1/3:
36 × (1/3) = 12
Step 3: Multiply by 3.14
Now, multiply 12 by 3.14:
12 × 3.14 = 37.68
Step 4: Multiply by 14
Finally, multiply 37.68 by 14:
37.68 × 14 = 527.52
Final Answer
The final result of the expression 1/3 x 3.14 x 6^2 x 14 is:
527.52
By following the order of operations and evaluating each step carefully, we've successfully simplified the complex expression.
