{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Order of Operations", "Integer Arithmetic" ], "new_concepts": [], "current_concepts": [ "Order of Operations", "Integer Arithmetic" ] } ## Evaluate parentheses \[ 9 - 5 = 4 \] ## Evaluate exponent \[ 4^2 = 16 \] ## Evaluate brackets and multiply \[ 8 \times [20 - 16] = 8 \times 4 = 32 \] 32 { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Order of Operations" ] }

\\820 - (9 - 5)^2\\

QUESTION IMAGE

$\\820 - (9 - 5)^2\\$

Question

\\820 - (9 - 5)^2\\

Explanation:

Evaluate parentheses

$$ 9 - 5 = 4 $$

Evaluate exponent

$$ 4^2 = 16 $$

Evaluate brackets and multiply

8 \times [20 - 16] = 8 \times 4 = 32

Answer:

32