What Is The Highest Power Of 5 Contained In 200?
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- 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।