what is the value of $c$ in the equation below?

\\frac{5^5}{5^2} = a^b = c\

- 3
- 5
- 125
- 625

Question

what is the value of $c$ in the equation below?

\\frac{5^5}{5^2} = a^b = c\

- 3
- 5
- 125
- 625

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 $$ \frac{5^5}{5^2} = 5^{5-2} = 5^3 $$ ## Evaluate the exponential expression $$ c = 5^3 = 5 \times 5 \times 5 = 125 $$

3

5

125

625

{ "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

Evaluate the exponential expression

Answer: