What is the highest power of (7) that divides (100!)?(100!) को विभाजित करने वाली (7) की अधिकतम घात क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (16)(16)
The exponent is ( \left\lfloor\frac{100}{7}\right\rfloor+\left\lfloor\frac{100}{49}\right\rfloor=16 ). Always add the contribution of higher powers such as (49).घात ( \left\lfloor\frac{100}{7}\right\rfloor+\left\lfloor\frac{100}{49}\right\rfloor=16 ) है। उच्च घातों जैसे (49) का योगदान जरूर जोड़ें।
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