fully simplify using only positive exponents.

\\frac{15x^5y^7}{3x^3y^8}\

Question

fully simplify using only positive exponents.

\\frac{15x^5y^7}{3x^3y^8}\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Exponent Rules", "Algebraic Simplification" ], "current_concepts": [ "Exponent Rules", "Algebraic Simplification" ] } ## Divide the coefficients $$ \frac{15}{3} = 5 $$ ## Simplify the variable terms using exponent rules $$ \begin{aligned} \frac{x^5}{x^3} &= x^{5-3} = x^2 \ \frac{y^7}{y^8} &= y^{7-8} = y^{-1} \end{aligned} $$ ## Express with positive exponents $$ 5 \cdot x^2 \cdot y^{-1} = \frac{5x^2}{y} $$ $$\frac{5x^2}{y}$$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Exponent Rules" ] }

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Question

Explanation:

Divide the coefficients

Simplify the variable terms using exponent rules

Express with positive exponents

Answer: