\(\frac{81}{2^4\cdot 3^4\cdot 5^6}\) का दशमलव प्रसार कितने स्थानों पर समाप्त होगा?
After how many decimal places will \(\frac{81}{2^4\cdot 3^4\cdot 5^6}\) terminate?
Explanation opens after your attempt
Correct Answer
C. (6)
Concept
Since \(81=3^4\), the reduced denominator is \(2^4\cdot 5^6\). The larger exponent is (6), so the decimal terminates after (6) places.
Why this answer is correct
The correct answer is C. (6). Since \(81=3^4\), the reduced denominator is \(2^4\cdot 5^6\). The larger exponent is (6), so the decimal terminates after (6) places.
Exam Tip
\(81=3^4\) कटने पर हर \(2^4\cdot 5^6\) बचेगा। बड़ी घात (6) है इसलिए दशमलव (6) स्थानों पर समाप्त होगा।
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