Question

помогите пожалуйста заранее спасибо

Answer 1

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Answer 2

1.
$\frac{ {9}^{5} \times {27}^{8} }{ {81}^{9} } = \frac{ { ({3}^{2}) }^{5} \times { ({3}^{3}) }^{8} }{ {( {3}^{4}) }^{9} } = \\ = \frac{ {3}^{10} \times {3}^{24} }{ {3}^{ 36} } = \frac{ {3}^{34} }{ {3}^{36} } = \frac{1}{ {3}^{2} } = \frac{1}{9}$
2.
${( \frac{3}{7}) }^{8} \times {( 2\frac{1}{3}) }^{10} = \frac{ {3}^{8} }{ {7}^{8} } \times {( \frac{7}{3} )}^{10} = \\ = \frac{ {3}^{8} }{ {7}^{8} } \times \frac{ {7}^{10} }{ {3}^{10} } = \\ = \frac{ {3}^{8} \times {7}^{10} }{ {7}^{8} \times {3}^{10} } = \\ = \frac{ {7}^{2} }{ {3}^{2} } = \\ = \frac{49}{9} = 5 \frac{4}{9}$