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What is the value of (4^3 \times 4^2)?(4^3 \times 4^2) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 10241024
When powers with the same base are multiplied, their exponents are added: \(4^3 \times 4^2=4^{3+2}=4^5\). Since \(4^5=1024\), the correct answer is 1024. Exam tip: for \(a^m \times a^n\), use \(a^{m+n}\); do not multiply the exponents.समान आधार वाली घातों के गुणन में घातांक जोड़े जाते हैं: \(4^3 \times 4^2=4^{3+2}=4^5\)। अब \(4^5=1024\), इसलिए सही उत्तर 1024 है। ध्यान रखें कि समान आधार होने पर आधार नहीं, केवल घातांक जोड़े जाते हैं।
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