Perform the operations: $11-3^4$

First, calculate the exponent: 3 4 = 81 .
Then, perform the subtraction: 11 − 81 = − 70 .
The result of the operations is − 70 .
Therefore, the final answer is − 70 ​ .

Explanation

Understanding the Problem We need to evaluate the expression 11 − 3 4 . This involves exponentiation and subtraction.

Calculating the Exponent First, we calculate 3 4 , which means 3 × 3 × 3 × 3 . This equals 81.

Performing the Subtraction Next, we subtract the result from 11: 11 − 81 = − 70 .

Final Answer Therefore, the final result of the operation is − 70 .


Examples
Understanding the order of operations (PEMDAS/BODMAS) is crucial in many fields, such as engineering and finance. For instance, calculating the depreciation of an asset might involve subtracting an exponential decay from its initial value, similar to the problem we solved. Correctly applying the order of operations ensures accurate financial forecasting and decision-making.

Answered by GinnyAnswer | 2025-07-03

The result of the operation 11 − 3 4 is − 70 , calculated by first finding 3 4 which equals 81, and then subtracting this from 11. Therefore, 11 − 81 = − 70 .
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Answered by Anonymous | 2025-07-04