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What is the highest power of (3) that divides (35!)?(35!) को विभाजित करने वाली (3) की अधिकतम घात क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (15)(15)
The exponent is ( \left\lfloor\frac{35}{3}\right\rfloor+\left\lfloor\frac{35}{9}\right\rfloor+\left\lfloor\frac{35}{27}\right\rfloor=15 ). Do not forget the contribution of higher powers.घात ( \left\lfloor\frac{35}{3}\right\rfloor+\left\lfloor\frac{35}{9}\right\rfloor+\left\lfloor\frac{35}{27}\right\rfloor=15 ) है। उच्च घातों का योगदान जोड़ना न भूलें।
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