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What is the value of (3^8 \div 3^4)?(3^8 \div 3^4) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 8181
When powers with the same non-zero base are divided, their exponents are subtracted: \(a^m \div a^n=a^{m-n}\). Thus, \(3^8 \div 3^4=3^{8-4}=3^4=81\), so option B is correct. Exam tip: for division with the same base, subtract the exponents rather than multiplying them.समान आधार वाली घातों के भाग में घातों को घटाया जाता है: \(a^m \div a^n=a^{m-n}\)। इसलिए \(3^8 \div 3^4=3^{8-4}=3^4=81\)। अतः सही विकल्प B है। परीक्षा-युक्ति: भाग करते समय आधार समान हो तो घातों का अंतर लें, उनका गुणनफल नहीं।
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