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Question Simplify: (-4)2 \( -32 \div(12-4) \). Provide your answer below: Qum

Ask by Colon Gough. in the United States
Mar 08,2025

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Tutor-Verified Answer

Answer

The simplified result is 12.

Solution

1. Rewrite the expression in clear mathematical notation: \[ (-4)^2 - \frac{32}{12-4} \] 2. Evaluate the square: \[ (-4)^2 = 16 \] 3. Simplify the expression in the denominator: \[ 12 - 4 = 8 \] 4. Perform the division: \[ \frac{32}{8} = 4 \] 5. Substitute back into the expression: \[ 16 - 4 \] 6. Subtract to obtain the final result: \[ 16 - 4 = 12 \] The simplified result is \( 12 \).

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Bonus Knowledge

First up, let's tackle the equation step by step! The expression can be simplified as follows: First, square -4, which gives you 16. Now, simplify the division part: 12 - 4 equals 8. So, -32 divided by 8 gives you -4. Now combine: 16 minus 4 equals 12. Therefore, the answer is 12! Now, let’s have some fun! The order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)), is critical in solving math problems. Keep this handy for any future math adventures! When dealing with negative numbers, it’s easy to make mistakes, like forgetting that squaring a negative makes a positive! Another common pitfall is overlooking the order of operations, so be sure to double-check each step! Remember, it’s perfectly fine to write out every step to avoid confusion. Happy calculating!

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