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What is the value of (3^8 \div 3^5)?(3^8 \div 3^5) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 2727
When powers with the same base are divided, their exponents are subtracted: \(a^m \div a^n=a^{m-n}\). Therefore, \(3^8 \div 3^5=3^{8-5}=3^3=27\). Hence, 27 is correct. Exam tip: for division with the same base, subtract the exponents; do not multiply them.समान आधार वाली घातों के भाग में घातों को घटाया जाता है: \(a^m \div a^n=a^{m-n}\)। इसलिए \(3^8 \div 3^5=3^{8-5}=3^3=27\)। अतः सही उत्तर 27 है। ध्यान रखें कि भाग करते समय आधार समान हो तो घातों का घटाव किया जाता है, गुणा नहीं।
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