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Find (\frac{7^4\times7^{-2}}{7}).(\frac{7^4\times7^{-2}}{7}) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 77
For powers with the same base, exponents are added during multiplication and subtracted during division. Thus, \(\frac{7^4\times7^{-2}}{7}=7^{4+(-2)-1}=7^1=7\). Therefore, option B is correct. Exam tip: write the denominator 7 as \(7^1\) before applying the laws of exponents.समान आधार वाली घातों के गुणन में घातें जोड़ी जाती हैं और भाग देने पर घातें घटाई जाती हैं। इसलिए \(\frac{7^4\times7^{-2}}{7}=7^{4+(-2)-1}=7^1=7\)। अतः सही उत्तर विकल्प B है। ध्यान रखें कि हर में 7 को \(7^1\) लिखकर उसके घातांक को घटाना आसान होता है।
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