Question

simplify this question I want correct answer by step by step ​

Answer 1

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$\frac{ {25}^{3} \times {5}^{2} \times 625 }{ {5}^{4} \times {125}^{3} } \\ = \frac{ { ({5}^{2} )}^{3} \times {5}^{2} \times {5}^{4} }{ {5}^{4} \times {( {5}^{3}) }^{3} } \\ = \frac{ { {5}^{6}} \times {5}^{2} \times {5}^{4} }{ {5}^{4} \times {5}^{9} } \\ = \frac{ {5}^{6 + 2 + 4} }{ {5}^{4 + 9} } \\ = \frac{ {5}^{12} }{ {5}^{13} } \\ =\frac{ {5}^{12} }{ {5}^{12} \times 5 } \\ = \frac{1}{5}$