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What Is The Highest Power Of 5 Contained In 200?

What Is The Highest Power Of 5 Contained In 200?

Friends, if you google What Is The Highest Power Of 5 Contained In 200? If you are searching, then you are going to get its answer on this website, then you can know in detail here that What Is The Highest Power Of 5 Contained In 200? What is its answer, below you have been shown by solving it step by step and its answer is given below?

  • Question: – What Is The Highest Power Of 5 Contained In 200?

Ans:-

200/5 = 40

200/5² = 8

200/5³ = 1  

∴ Highest power of 5 contained in 200! =40 + 8 + 1 = 49

  • Step-By-Step Explanation:

Let’s see..this is a very simple question that can be easily understood using the constituent rules of mathematics.

200 story! The highest power of the number 5 is 2 (which is equal to 2).

Now the highest measurable power is 5 out of 200 (equal to G2).

5 This number appears only 2 times in factorization.

So, the highest power would be 200/5 + 200/5 2 + 200/5 ^ 3 = 200/5 + 200/25 + 200/125

= 40 + 8 + 1 = 49.

  • The correct answer is 49.

Now we measure the maximum power of 5 in 200 (two equal). 5 This number appears only 2 times in factorization. So find 40 + 8 + 1 which is equal to 49. So the correct answer is 49.


What Is The Highest Power Of 5 Contained In 200? हिंदी में स्पष्टीकरण

उत्तर:-

200/5 = 40

200/5² = 8

200/5³ = 1

  • 5 की उच्चतम शक्ति 200 में निहित है! =40 + 8 + 1 = 49

स्पष्टीकरण

हम… आपने 200 की संख्या में 5 की उच्चतम शक्ति की गणना करने के लिए कहा है! फैक्टोरियल।

चरण-दर-चरण स्पष्टीकरण:

आइए देखते हैं..यह एक बहुत ही सरल प्रश्न है जिसे गणित में फैक्टोरियल नियमों का उपयोग करके आसानी से समझा जा सकता है।

200 की बात! 5 अंक की उच्चतम घात 2 होगी (जो 2 के बराबर है)।

अब उच्चतम शक्ति की गणना 200 में 5 के लिए की जा सकती है (जो कि 2 के बराबर भी है)।

संख्या 5 गुणनखंड में केवल 2 बार आती है।

तो, उच्चतम शक्ति 200/5 + 200/5^2 + 200/5^3 = 200/5 + 200/25 + 200/125 होगी

= 40 + 8 + 1 = 49।

  • सही उत्तर 49 है।

 

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