multiply.

(5v^{9} \cdot 3w^{4} v^{3} \cdot 2w)

simplify your answer as much as possible.

Question

multiply.

(5v^{9} \cdot 3w^{4} v^{3} \cdot 2w)

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" ] } ## Rearrange and group terms $$ (5 \cdot 3 \cdot 2) \cdot (v^9 \cdot v^3) \cdot (w^4 \cdot w^1) $$ ## Multiply coefficients and apply product rule for exponents $$ \begin{aligned} 5 \cdot 3 \cdot 2 &= 30 \ v^9 \cdot v^3 &= v^{9+3} = v^{12} \ w^4 \cdot w^1 &= w^{4+1} = w^5 \end{aligned} $$ ## Combine the simplified parts $$ 30v^{12}w^5 $$ Multiply. $5v^9 \cdot 3w^4 \cdot v^3 \cdot 2w$ Simplify your answer as much as possible. $30v^{12}w^5$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Exponent Rules" ] }

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QUESTION IMAGE

Question

Explanation:

Rearrange and group terms

Multiply coefficients and apply product rule for exponents

Combine the simplified parts

Answer: