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What is the value of (3^7 \div 3^3)?(3^7 \div 3^3) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 8181
When powers with the same base are divided, their exponents are subtracted: \(a^m \div a^n=a^{m-n}\). Therefore, \(3^7 \div 3^3=3^{7-3}=3^4=81\). Hence, option C is correct. Exam tip: subtract exponents in division, whereas exponents are added when multiplying powers with the same base; therefore, 27 and 243 are not correct.समान आधार वाली घातों के भाग में घातांक घटाए जाते हैं: \(a^m \div a^n=a^{m-n}\)। इसलिए \(3^7 \div 3^3=3^{7-3}=3^4=81\)। अतः सही विकल्प C है। ध्यान रखें कि भाग करते समय घातांक घटते हैं, जबकि गुणा करते समय वे जुड़ते हैं; इसलिए 27 या 243 सही नहीं हैं।
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