\(\frac{1}{2^7\cdot 5^3\cdot 41}\) के दशमलव में आवर्ती भाग से पहले कितने अनावर्ती अंक होंगे?
In the decimal expansion of \(\frac{1}{2^7\cdot 5^3\cdot 41}\), how many non-repeating digits appear before the recurring part?
Explanation opens after your attempt
C. (7)
Concept
The factor (41) makes the decimal recurring, and the larger exponent of (2) and (5) is (7), giving the non-repeating start. In mixed denominators, the larger exponent gives the delay.
Why this answer is correct
The correct answer is C. (7). The factor (41) makes the decimal recurring, and the larger exponent of (2) and (5) is (7), giving the non-repeating start. In mixed denominators, the larger exponent gives the delay.
Exam Tip
(41) के कारण दशमलव आवर्ती होगा और (2), (5) की बड़ी घात (7) अनावर्ती आरंभ देगी। मिश्रित हर में बड़ी घात से देरी मिलती है।
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