multiply.

\7x^4 v^7 \cdot 3v^2 \cdot 2x\

simplify your answer as much as possible.

Question

multiply.

\7x^4 v^7 \cdot 3v^2 \cdot 2x\

simplify your answer as much as possible.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Exponent Rules", "Multiplying Monomials" ], "new_concepts": [], "current_concepts": [ "Exponent Rules", "Multiplying Monomials" ] } ## Group coefficients and variables $$ (7 \cdot 3 \cdot 2) \cdot (x^4 \cdot x) \cdot (v^7 \cdot v^2) $$ ## Simplify each grouped part $$ \begin{aligned} 7 \cdot 3 \cdot 2 &= 42 \ x^4 \cdot x^1 &= x^{4+1} = x^5 \ v^7 \cdot v^2 &= v^{7+2} = v^9 \end{aligned} $$ ## Combine the simplified parts $$ 42x^5v^9 $$ Multiply. $7x^4v^7 \cdot 3v^2 \cdot 2x$ Simplify your answer as much as possible. $42x^5v^9$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Exponent Rules" ] }

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QUESTION IMAGE

Question

Explanation:

Group coefficients and variables

Simplify each grouped part

Combine the simplified parts

Answer: