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What is the value of (5^7 \div 5^4)?(5^7 \div 5^4) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 125125
When powers with the same base are divided, their exponents are subtracted: \(a^m \div a^n=a^{m-n}\). Therefore, \(5^7 \div 5^4=5^{7-4}=5^3=125\), so option C is correct. Exam tip: For division with the same base, subtract the exponents rather than multiplying them.समान आधार वाली घातों के भाग में घातांक घटाए जाते हैं: \(a^m \div a^n=a^{m-n}\)। इसलिए \(5^7 \div 5^4=5^{7-4}=5^3=125\)। अतः सही विकल्प C है। परीक्षा-युक्ति: भाग करते समय समान आधार होने पर घातांकों का अंतर लें, उनका गुणनफल नहीं।
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