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[tex] \frac{6 {}^{2} }{7 {}^{2} } = \frac{36}{49} \\ \frac{9}{10 {}^{2} } = \frac{9}{100} \\ \frac{2 {}^{3} }{15} = \frac{8}{15} \\ \frac{1 {}^{4} }{ {10}^{4} } = \frac{1}{10000} [/tex]
[tex](2 - \frac{3}{4} ) {}^{2} = (\frac{8 - 3}{4} ) { }^{2} = (\frac{5}{4} ) {}^{2} = \frac{25}{16} [/tex]
[tex]( \frac{1}{3} + \frac{1}{5} + \frac{4}{15} + \frac{7}{5} ) {}^{2} = ( \frac{5 + 3 + 4 + 21}{15} ) {}^{2} = ( \frac{36}{15} ) {}^{2} = ( \frac{11}{5}) {}^{2} = \frac{121}{25} [/tex]
[tex]( \frac{5}{3} - \frac{1}{2} - \frac{5}{6} ) {}^{3} = ( \frac{10 - 3 - 5}{6} ) {}^{3} = ( \frac{2}{6} ) {}^{3} = ( \frac{1}{3} ) {}^{3} = \frac{1}{27} [/tex]
[tex]( \frac{3}{4} - \frac{1}{8} \times 2) {}^{4} = ( \frac{6 - 2}{8}) {}^{4} = ( \frac{4}{8}) {}^{4} = ( \frac{1}{2} ) {}^{4} = \frac{1}{?16} [/tex]
[tex](3 - \frac{9}{7} ) {}^{2} = ( \frac{21 - 9}{7}) {}^{2} = ( \frac{12}{7} ) {}^{2} = \frac{144}{?49} [/tex]
[tex]( 2 \times \frac{3}{?4} \times \frac{5}{?9}) {}^{2} = ( \frac{30}{36}) {}^{2} = ( \frac{5}{6}) {}^{2} = \frac{25}{36} [/tex]
[tex]( \frac{1}{3} \div \frac{5}{4} \times \frac{9}{16} ) {}^{2} =( \frac{1}{3} \times \frac{4}{5} \times \frac{9}{16} ) {}^{2} = ( \frac{36}{240} ) {}^{2} = ( \frac{3}{20} ) {}^{2} = \frac{9}{400} [/tex]
[tex]( \frac{2}{3} + \frac{3}{5} - 1) {}^{2} = \frac{10 + 9 - 15}{15}) {}^{2} = ( \frac{4}{15}) {}^{2} = \frac{16}{225} [/tex]