what is the value of (n) in the equation below?

\\frac{12^n}{12^5} = 12^4\

-20
-9
9
20

Question

what is the value of (n) in the equation below?

\\frac{12^n}{12^5} = 12^4\

-20
-9
9
20

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Exponent Rules", "Quotient of Powers Rule" ], "new_concepts": [], "current_concepts": [ "Exponent Rules", "Quotient of Powers Rule" ] } ## Apply the quotient of powers rule $$ \frac{12^n}{12^5} = 12^{n-5} $$ ## Set exponents equal and solve for n $$ \begin{aligned} 12^{n-5} &= 12^4 \ n - 5 &= 4 \ n &= 9 \end{aligned} $$

(A) $-20$

(B) $-9$

(C) $9$

(D) $20$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Exponent Rules" ] }

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QUESTION IMAGE

Question

Explanation:

Apply the quotient of powers rule

Set exponents equal and solve for n

Answer: