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What is the value of (7^5 \div 7^5)?(7^5 \div 7^5) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 11
When powers with the same base are divided, subtract their exponents: \(7^5 \div 7^5 = 7^{5-5} = 7^0 = 1\). Therefore, the correct answer is 1. The base 7 is not the result, and 0 is incorrect because any non-zero number raised to the power 0 equals 1. Exam tip: Use \(a^m \div a^m = a^0 = 1\), provided \(a \ne 0\).समान आधार वाली घातों को भाग देने पर घातें घटती हैं: \(7^5 \div 7^5 = 7^{5-5} = 7^0 = 1\)। इसलिए सही उत्तर 1 है। 7 केवल आधार है, जबकि 0 गलत है क्योंकि किसी भी गैर-शून्य संख्या की शून्य घात 1 होती है। परीक्षा टिप: \(a^m \div a^m\) को सीधे \(a^0=1\) लिख सकते हैं, बशर्ते \(a \ne 0\)।
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