fully simplify using only positive exponents.

\\frac{4x^8y^8}{10x^4y^6}\

Question

fully simplify using only positive exponents.

\\frac{4x^8y^8}{10x^4y^6}\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Exponent Rules", "Algebraic Simplification" ], "new_concepts": [], "current_concepts": [ "Exponent Rules", "Algebraic Simplification" ] } ## Simplify the numerical coefficients $$ \frac{4}{10} = \frac{2}{5} $$ ## Apply exponent rules to the variables $$ \begin{aligned} \frac{x^8}{x^4} &= x^{8-4} = x^4 \ \frac{y^8}{y^6} &= y^{8-6} = y^2 \end{aligned} $$ ## Combine the simplified terms $$ \frac{2x^4y^2}{5} $$ $\frac{2x^4y^2}{5}$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Exponent Rules" ] }

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QUESTION IMAGE

Question

Explanation:

Simplify the numerical coefficients

Apply exponent rules to the variables

Combine the simplified terms

Answer: