\-2n^5 \cdot 7n^7 = \text{ (simplify your answer.)}\

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Product Rule for Exponents", "Multiplying Monomials" ], "new_concepts": [], "current_concepts": [ "Product Rule for Exponents", "Multiplying Monomials" ] } ## Group coefficients and variables $$ -2n^5 \cdot 7n^7 = (-2 \cdot 7) \cdot (n^5 \cdot n^7) $$ ## Multiply coefficients and apply product rule $$ \begin{aligned} -2 \cdot 7 &= -14 \ n^5 \cdot n^7 &= n^{5+7} = n^{12} \end{aligned} $$ ## Combine results $$ -14n^{12} $$ $-2n^5 \cdot 7n^7 =$ $-14n^{12}$ (Simplify your answer.) { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Product Rule for Exponents" ] }

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Question

Explanation:

Group coefficients and variables

Multiply coefficients and apply product rule

Combine results

Answer: