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What is the value of (14^4 \div 14^2)?(14^4 \div 14^2) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 196196
For division of powers with the same base, subtract the exponents: \(a^m \div a^n=a^{m-n}\). Therefore, \(14^4 \div 14^2=14^{4-2}=14^2=196\). Option B, \(14^3\), would result only if the exponent difference were 3. Exam tip: subtract exponents for division with the same base and add them for multiplication.समान आधार वाली घातों के भाग में घातांक घटाए जाते हैं: \(a^m \div a^n=a^{m-n}\)। इसलिए \(14^4 \div 14^2=14^{4-2}=14^2=196\)। विकल्प B, \(14^3\), तब मिलता यदि घातांकों का अंतर 3 होता। परीक्षा-युक्ति: समान आधार होने पर भाग करते समय घातांक घटाएँ, गुणा करते समय जोड़ें।
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