(15!) को विभाजित करने वाली (3) की अधिकतम घात क्या है?
What is the highest power of (3) that divides (15!)?
Explanation opens after your attempt
Correct Answer
B. (6)
Concept
The exponent is \( \left\lfloor\frac{15}{3}\right\rfloor+\left\lfloor\frac{15}{9}\right\rfloor=6 \). For a prime exponent, add the quotients.
Why this answer is correct
The correct answer is B. (6). The exponent is \( \left\lfloor\frac{15}{3}\right\rfloor+\left\lfloor\frac{15}{9}\right\rfloor=6 \). For a prime exponent, add the quotients.
Exam Tip
घात \( \left\lfloor\frac{15}{3}\right\rfloor+\left\lfloor\frac{15}{9}\right\rfloor=6 \) है। अभाज्य घात के लिए भागफल जोड़ते हैं।
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