fully simplify using only positive exponents.

\\frac{15x^2y^2}{25xy^7}\

answer attempt 1 out of 2

Question

fully simplify using only positive exponents.

\\frac{15x^2y^2}{25xy^7}\

answer attempt 1 out of 2

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 $$ \frac{15}{25} = \frac{3}{5} $$ ## Simplify the variable terms $$ \begin{aligned} \frac{x^2}{x} &= x^{2-1} = x \ \frac{y^2}{y^7} &= y^{2-7} = y^{-5} = \frac{1}{y^5} \end{aligned} $$ ## Combine the simplified parts $$ \frac{15x^2y^2}{25xy^7} = \frac{3x}{5y^5} $$ $\frac{3x}{5y^5}$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Exponent Rules" ] }

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QUESTION IMAGE

Question

Explanation:

Simplify the numerical coefficients

Simplify the variable terms

Combine the simplified parts

Answer: