Question

Пожалуйста помогите срочно 8 класс номер 2
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Answer 1

$2.$

$1) \: \: \: \: \: \frac{ {3}^{2} \times {4}^{3} \times {12}^{2} }{ {9}^{2} \times {6}^{3} } = \frac{ {3}^{2} \times {( {2}^{2}) }^{3} \times {2}^{2} \times {2}^{2} \times {3}^{2} }{ {( {3}^{2} )}^{2} \times {2}^{3} \times {2}^{3} } = \frac{ {3}^{4} \times {2}^{10} }{ {3}^{4} \times {2}^{6} } = {2}^{4} = 16$

$2) \: \: \: \: \: \frac{ {5}^{2} \times {6}^{4} \times {12}^{2} }{ {15}^{2} \times {9}^{3} } = \frac{ {5}^{2} \times {2}^{4} \times {3}^{4} \times {2}^{2} \times {2}^{2} \times {3}^{2} }{ {5}^{2} \times {3}^{2} \times { ({3}^{2}) }^{3} } = \frac{ {5}^{2} \times {2}^{8} \times {3}^{6} }{ {5}^{2} \times {3}^{8} } = \frac{ {2}^{8} }{ {3}^{2} } = \frac{256}{9} = 28 \frac{4}{9}$

$3) \: \: \: \: \: \frac{ {12}^{2} \times {4}^{3} \times {6}^{2} }{ {8}^{2} \times {18}^{3} } = \frac{ {2}^{2} \times {2}^{2} \times {3}^{2} \times {( {2}^{2}) }^{3} \times {2}^{2} \times {3}^{2} }{ { ({2}^{3}) }^{2} \times {3}^{3} \times {3}^{3} \times {2}^{3} } = \frac{ {2}^{12} \times {3}^{4} }{ {2}^{9} \times {3}^{6} } = \frac{ {2}^{3} }{ {3}^{2} } = \frac{8}{9}$

$4. \: \: \: \: \: \frac{ { {( {3}^{3} )}^{3} }^{} \times {9}^{7} \times {2}^{2} }{ {81}^{5} \times {2}^{3} } = \frac{ {3}^{9} \times {3}^{7} \times {3}^{7} \times {2}^{2} }{ {3}^{5} \times {3}^{5} \times {3}^{5} \times {3}^{7} \times {2}^{3} } = \frac{ {3}^{23} \times {2}^{2} }{ {3}^{20} \times {2}^{3} } = \frac{ {3}^{3} }{2} = \frac{27}{2} = 13.5$