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7. \( 5 \times 2+3^{2} \) 9. \( (11-8)^{3}-2 \times 6 \) 11. \( 12+\frac{9^{2}}{3} \)

Ask by Lynch Parsons. in the United States
Feb 27,2025

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Tutor-Verified Answer

Answer

19, 15, 39

Solution

Let's simplify each expression step-by-step. 1. For 5 × 2 + 3²: - Calculate the multiplication: 5 × 2 = 10. - Calculate the exponent: 3² = 9. - Add the two results: 10 + 9 = 19. 2. For (11 – 8)³ – 2 × 6: - Compute inside the parentheses: 11 – 8 = 3. - Raise to the power of 3: 3³ = 27. - Multiply: 2 × 6 = 12. - Subtract: 27 – 12 = 15. 3. For 12 + (9² / 3): - Compute the exponent: 9² = 81. - Divide: 81 / 3 = 27. - Add: 12 + 27 = 39. So, the answers are: 7. 19 9. 15 11. 39

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Beyond the Answer

Let's break it down! For the first expression \( 5 \times 2 + 3^{2} \), follow the order of operations: first do the exponent, where \( 3^{2} = 9 \), then solve \( 5 \times 2 = 10 \). Adding those together gives \( 10 + 9 = 19 \). Now, for the second expression \( (11-8)^{3} - 2 \times 6 \), first compute the parentheses: \( 11-8 = 3 \) and then raise it to the power of 3, yielding \( 3^{3} = 27 \). Next, calculate \( 2 \times 6 = 12 \), and finally subtract: \( 27 - 12 = 15 \). Lastly, in \( 12 + \frac{9^{2}}{3} \), start with \( 9^{2} = 81 \), then divide that by 3 to get \( 27 \). Add this to 12 for a final result of \( 12 + 27 = 39 \). Now you've tackled these calculations like a pro! Keep practicing to sharpen your math skills!

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