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What is simplified form of (2^5 \times 4^2)(2^5 \times 4^2) का सरल रूप क्या है
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(2^9\)\(2^9\)
Write 4 as \(2^2\). Then \(2^5 \times 4^2 = 2^5 \times (2^2)^2 = 2^5 \times 2^4 = 2^{5+4}=2^9\). Therefore, option A is correct. Option B results from adding the exponents incorrectly. Exam tip: when powers with the same base are multiplied, their exponents are added.यहाँ 4 को 2^2 के रूप में लिखते हैं। इसलिए \(2^5 \times 4^2 = 2^5 \times (2^2)^2 = 2^5 \times 2^4 = 2^{5+4}=2^9\)। अतः सही उत्तर विकल्प A है। विकल्प B में घातों का गलत योग किया गया है। परीक्षा-टिप: समान आधार वाली घातों के गुणन में घातांक जोड़े जाते हैं।
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