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What is the value of (9^3 \div 3^5)?(9^3 \div 3^5) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 33
Rewrite 9 as a power of 3: 9 = 3^2. Thus, 9^3 = (3^2)^3 = 3^6. Using the quotient rule for powers with the same base, 3^6 \div 3^5 = 3^{6-5} = 3. Therefore, the correct answer is 3. Exam tip: when dividing powers with the same non-zero base, subtract the exponents: a^m \div a^n = a^{m-n}.पहले 9 को 3 की घात के रूप में लिखें: 9 = 3^2। इसलिए 9^3 = (3^2)^3 = 3^6। अब समान आधार वाली घातों के भाग के नियम से 3^6 \div 3^5 = 3^{6-5} = 3। अतः सही उत्तर 3 है। परीक्षा-युक्ति: समान आधारों के भाग में घातों को घटाया जाता है, अर्थात् a^m \div a^n = a^{m-n}।
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