multiply.

\2u \cdot 2u^8 v^7 \cdot 6v^3\

simplify your answer as much as possible.

Question

multiply.

\2u \cdot 2u^8 v^7 \cdot 6v^3\

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 $$ (2 \cdot 2 \cdot 6) \cdot (u^1 \cdot u^8) \cdot (v^7 \cdot v^3) $$ ## Multiply coefficients and apply exponent rules $$ \begin{aligned} 2 \cdot 2 \cdot 6 &= 24 \ u^1 \cdot u^8 &= u^{1+8} = u^9 \ v^7 \cdot v^3 &= v^{7+3} = v^{10} \end{aligned} $$ ## Combine terms into final monomial $$ 24u^9v^{10} $$ Multiply. $$2u \cdot 2u^8 v^7 \cdot 6v^3$$ Simplify your answer as much as possible. $24u^9v^{10}$ { "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

Multiply coefficients and apply exponent rules

Combine terms into final monomial

Answer: