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Step-by-step explanation: No, 40500 is not a perfect cube
By Prime Factorization Method,
2|40500
2|20250
5|10125 So,
5|2025 40500= 2×2×5×5×5×3×3×3×3
5|405 =2sq×5cu×3cu×3
3|81
3|27 Therefore,
3|9 2×3 sq should be multiplied to obtain a perfect cube
3|3 And,
|1 2 sq×3 should be divided to obtain a perfect cube
(Note:cu means cube and sq means square )
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