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What is the value of (2^{12}\div2^8)?(2^{12}\div2^8) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 1616
For division of powers with the same base, use the rule \(a^m\div a^n=a^{m-n}\). Thus, \(2^{12}\div2^8=2^{12-8}=2^4=16\). Therefore, 16 is correct. Exam tip: when dividing powers with the same base, subtract the exponents; do not add them as in multiplication.समान आधार वाली घातों के भाग का नियम है: \(a^m\div a^n=a^{m-n}\)। इसलिए \(2^{12}\div2^8=2^{12-8}=2^4=16\)। अतः सही उत्तर 16 है। ध्यान रखें कि भाग करते समय समान आधार होने पर घातें घटाई जाती हैं, गुणा नहीं।
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