Simplify \(196^2\times 56 \div 14^5 \times 1021\) = ?
Simplify/ सरल करें
\(196^2\times 56 \div 14^5 \times 1021\) = ?
Detailed Solution & Logic
4084
Simplify:
$196^2 \times 56 \div 14^5 \times 1021$
First, express everything in terms of $14$:
- $196 = 14^2 \Rightarrow 196^2 = (14^2)^2 = 14^4$
- $56 = 14 \times 4$
Now substitute:
$= 14^4 \times (14 \times 4) \div 14^5 \times 1021$
Combine powers of $14$:
$= \frac{14^4 \times 14 \times 4}{14^5} \times 1021$
$= \frac{14^5 \times 4}{14^5} \times 1021$
Cancel $14^5$:
$= 4 \times 1021$
$= 4084$
✅ Final Answer: 4084
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