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", "Integer Subtraction" ], "new_concepts": [], "current_concepts": [ "Order of Operations", "Integer Multiplication", "Integer Subtraction", "Exponents" ] } ## Identify the expression The image is upside down. Rotating it $180^\circ$ reveals the text: "Evaluate." The expression is: $$ 2^2 \cdot (-3) - (2) + (-4) \cdot 3 $$ ## Evaluate exponents and multiplications $$ \begin{aligned} 2^2 &= 4 \ 4 \cdot (-3) &= -12 \ (-4) \cdot 3 &= -12 \end{aligned} $$ ## Perform addition and subtraction $$ \begin{aligned} &-12 - 2 + (-12) \ &= -14 - 12 \ &= -26 \end{aligned} $$ $-26$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Order of Operations" ] }

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Explanation:

Identify the expression

Evaluate exponents and multiplications

Perform addition and subtraction

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