simplify.

\\frac{y^{-8}}{y^{-9}}\

write your answer with a positive exponent only.

Question

simplify.

\\frac{y^{-8}}{y^{-9}}\

write your answer with a positive exponent only.

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", "Negative Exponents" ], "new_concepts": [], "current_concepts": [ "Exponent Rules", "Negative Exponents", "Power of a Quotient Rule" ] } ## Apply the quotient rule for exponents $$ \frac{y^{-8}}{y^{-9}} = y^{-8 - (-9)} $$ ## Simplify the exponent $$ -8 - (-9) = -8 + 9 = 1 $$ ## Write the final simplified expression $$ y^1 = y $$ Simplify. $$\frac{y^{-8}}{y^{-9}}$$ Write your answer with a positive exponent only. $y$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Exponent Rules" ] }

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QUESTION IMAGE

Question

Explanation:

Apply the quotient rule for exponents

Simplify the exponent

Write the final simplified expression

Answer: