evaluate.

(3 cdot (-4) + (2 - (-3)^2)^2)

Question

evaluate.

(3 cdot (-4) + (2 - (-3)^2)^2)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Order of Operations", "Integer Multiplication", "Subtracting Negative Numbers" ], "new_concepts": [], "current_concepts": [ "Order of Operations", "Integer Multiplication", "Subtracting Negative Numbers", "Exponents" ] } ## Rotate the expression to standard orientation The image is upside down. Rotating it $180^\circ$ yields the expression: $$ 2^2 - (-3) + (-4) \cdot 3 $$ ## Evaluate the exponent and multiplication $$ \begin{aligned} 2^2 &= 4 \ (-4) \cdot 3 &= -12 \end{aligned} $$ ## Perform addition and subtraction from left to right $$ \begin{aligned} 4 - (-3) + (-12) &= 4 + 3 - 12 \ &= 7 - 12 \ &= -5 \end{aligned} $$ $-5$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Order of Operations" ] }

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QUESTION IMAGE

Question

Explanation:

Rotate the expression to standard orientation

Evaluate the exponent and multiplication

Perform addition and subtraction from left to right

Answer: