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What is simplified form of (\frac{a^6}{a^2})(\frac{a^6}{a^2}) का सरल रूप क्या है
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(a^4\)\(a^4\)
When powers with the same non-zero base are divided, their exponents are subtracted: \(\frac{a^m}{a^n}=a^{m-n}\), where \(a\ne0\). Thus, \(\frac{a^6}{a^2}=a^{6-2}=a^4\). Exam tip: subtract exponents for division of like bases; do not add them.समान आधार वाली घातों को भाग देने पर घातांक घटाए जाते हैं: \(\frac{a^m}{a^n}=a^{m-n}\), जहाँ \(a\ne0\)। इसलिए \(\frac{a^6}{a^2}=a^{6-2}=a^4\)। परीक्षा में भाग के समय घातांकों को जोड़ने के बजाय घटाना याद रखें।
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