Step-by-step explanation:
[tex](343 \times {7}^{2} \times 100) \div ( {10}^{3} \times {7}^{2} \times {3}^{3} ) \\ \\ = ( {7}^{3} \times {7}^{2} \times {10}^{2} ) \div ( {10}^{3} \times {7}^{2} \times {3}^{3} ) \\ \\ = ( {7}^{3 + 2} \times {10}^{2} ) \div ( {10}^{3} \times {7}^{2} \times {3}^{3} ) \\ \\ = ( {7}^{5} \times {10}^{2} ) \div ( {10}^{3} \times {7}^{2} \times {3}^{3} ) \\ \\ = \frac{{7}^{5} \times {10}^{2} }{{10}^{3} \times {7}^{2} \times {3}^{3} } \\ \\ = \frac{ {7}^{3} }{10 \times {3}^{3} } \\ \\ = \frac{343}{270} \\ [/tex]
