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What is the highest power of (5) in (75!)?(75!) में (5) की अधिकतम घात क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (18)(18)
The exponent is (\left\lfloor\frac{75}{5}\right\rfloor+\left\lfloor\frac{75}{25}\right\rfloor=15+3=18). Add quotients of all possible powers of the prime.घात (\left\lfloor\frac{75}{5}\right\rfloor+\left\lfloor\frac{75}{25}\right\rfloor=15+3=18) है। अभाज्य की सभी संभव घातों के भागफल जोड़ें।
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