(80!) में (7) की अधिकतम घात क्या है?

What is the highest power of (7) in (80!)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

B. (12)

Explanation

Simple Explanation

घात \( \left\lfloor\frac{80}{7}\right\rfloor+\left\lfloor\frac{80}{49}\right\rfloor=11+1=12\) है। अभाज्य की घातों तक ही जोड़ें। / The exponent is \(\left\lfloor\frac{80}{7}\right\rfloor+\left\lfloor\frac{80}{49}\right\rfloor=11+1=12\). Add only up to powers of the prime.

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FAQs

Mathematics Answer, Explanation and Revision Hints

(80!) में (7) की अधिकतम घात क्या है? / What is the highest power of (7) in (80!)?

Correct Answer: B. (12). Explanation: घात \( \left\lfloor\frac{80}{7}\right\rfloor+\left\lfloor\frac{80}{49}\right\rfloor=11+1=12\) है। अभाज्य की घातों तक ही जोड़ें। / The exponent is \(\left\lfloor\frac{80}{7}\right\rfloor+\left\lfloor\frac{80}{49}\right\rfloor=11+1=12\). Add only up to powers of the prime.