Question

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Answer 1

Answer:

${2}^{ - 1} \times {5}^{2}$

Step-by-step explanation:

$\frac{ {3}^{ - 4} \times {10}^{ - 5} \times 625 }{ {5}^{ - 3} \times {6}^{ - 4} } \\ = \frac{ {3}^{ - 4} \times {(2 \times 5)}^{ - 5} \times {5}^{4} }{ {5}^{ - 3} \times {(2 \times 3)}^{ - 4} } \\ = \frac{ {3}^{ - 4} \times {2}^{ - 5} \times {5}^{ -1} }{ {5}^{ - 3} \times {2}^{ - 4} \times {3}^{ - 4} } \\ = {2}^{ - 1} \times {5}^{2} \\ or \\ = \frac{ {5}^{2} }{2}$

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