Question
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(8) \( (9+5-6) \times\left(4^{3}+8\right) \)

Ask by Ruiz Chambers. in the United States
Jan 26,2025

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Tutor-Verified Answer

Answer

The result of the expression is 576.

Solution

To evaluate the expression: \[ (9 + 5 - 6) \times \left(4^{3} + 8\right) \] Let's break it down step by step. ### Step 1: Simplify Inside the First Parentheses \[ 9 + 5 - 6 = 14 - 6 = 8 \] ### Step 2: Simplify Inside the Second Parentheses \[ 4^{3} + 8 = 64 + 8 = 72 \] *Note:* \(4^{3}\) means \(4 \times 4 \times 4 = 64\). ### Step 3: Multiply the Results from Step 1 and Step 2 \[ 8 \times 72 = 576 \] ### Final Answer \[ (9 + 5 - 6) \times \left(4^{3} + 8\right) = 576 \]

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Beyond the Answer

Did you know that the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), is crucial in solving mathematical expressions correctly? It helps ensure that whether you're baking a cake or solving for x, you get the right result every time! To solve the expression \( (9+5-6) \times\left(4^{3}+8\right) \), we first calculate inside the parentheses: \( 9 + 5 - 6 = 8 \) and \( 4^3 + 8 = 64 + 8 = 72 \). Consequently, we multiply these results: \( 8 \times 72 = 576 \). Voilà! Math can be quite the adventure!

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