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Evaluate the expression: \(|(-2)^5| - (14 + 18)\)

A. -66
B. 66
C. 62
D. -62

Answer :

Final Answer:

First, calculate (-2)^5. This means raising -2 to the power of 5. c) 62

Explanation:

1. First, calculate (-2)^5. This means raising -2 to the power of 5.

2. (-2)^5 = -2 * -2 * -2 * -2 * -2 = -32 (since the product of two negative numbers is positive).

3. Next, evaluate |(-2)^5|, which is the absolute value of -32, making it positive: |(-2)^5| = 32.

4. Now, substitute the absolute value result back into the original expression: 32 - (14 + 18).

5. Simplify the expression inside the parentheses: 14 + 18 = 32.

6. Substitute this back into the main expression: 32 - 32 = 0.

7. Therefore, the final result of the expression |(-2)^5| - (14 + 18) is 0.

One related sentence: Understanding the order of operations and absolute value is crucial for correctly evaluating mathematical expressions involving both positive and negative numbers.

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