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What is the value of (27^2 \div 3^4)?(27^2 \div 3^4) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 99
Since 27 = 3^3, we have 27^2 = (3^3)^2 = 3^6. Therefore, 27^2 \div 3^4 = 3^6 \div 3^4 = 3^{6-4} = 3^2 = 9. When powers with the same base are divided, their exponents are subtracted; hence the nearby option 27 is incorrect. Exam tip: subtract the exponents when dividing powers with the same base.क्योंकि 27 = 3^3, इसलिए 27^2 = (3^3)^2 = 3^6। अतः 27^2 \div 3^4 = 3^6 \div 3^4 = 3^{6-4} = 3^2 = 9। यहाँ समान आधारों के भाग में घातों का घटाव किया जाता है; इसलिए निकटतम विकल्प 27 सही नहीं है। परीक्षा-युक्ति: समान आधार वाले घातों को भाग देते समय घातांक घटाएँ।
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