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What is the highest power of (2) that divides (14!)?(14!) को विभाजित करने वाली (2) की अधिकतम घात क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (11)(11)
The exponent is ( \left\lfloor\frac{14}{2}\right\rfloor+\left\lfloor\frac{14}{4}\right\rfloor+\left\lfloor\frac{14}{8}\right\rfloor=11 ). Add all quotients while finding a prime exponent.घात ( \left\lfloor\frac{14}{2}\right\rfloor+\left\lfloor\frac{14}{4}\right\rfloor+\left\lfloor\frac{14}{8}\right\rfloor=11 ) है। अभाज्य घात निकालते समय सभी भागफल जोड़ें।
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