Step-by-step explanation:
[tex] \frac{125 \times {8}^{3} \times 1000 }{8 \times {5}^{3} \times {10}^{2} } \\ \\ = \frac{125 \times {8}^{2} \times 8 \times 1000 }{8 \times 125 \times 100 } \\ \\ = {8}^{2} \times 10 \\ \\ = 64 \times 10 \\ \\ \therefore \: \frac{125 \times {8}^{3} \times 1000 }{8 \times {5}^{3} \times {10}^{2} } = 640 \\ [/tex]