Пж, с решением.Даю 50 поинтов

Question

Алгебра

Cheashez

6 год назад

Пж, с решением.Даю 50 поинтов

ОТВЕТЫ

Герасим

Nov 8, 2020

$1)a) {3}^{7}\times ( {3}^{2} )^{3}\div{3}^{10}={3}^{7}\times{3}^{6}\div{3}^{10} ={3}^{3} = 3 \times 3 \times 3 = 27\\ b) {5}^{20}\div ( {5}^{2} )^{5}\div{5}^{8}={5}^{20}\div{5}^{10}\div{5}^{8}={5}^{2} = 5 \times 5 = 25\\\\ 2)a) \frac{ {9}^{4} }{ {3}^{7} }=\frac{ {(3 \times 3)}^{4} }{ {3}^{7} }=\frac{ {3}^{8} }{ {3}^{7} }= 3 \\ \\b) \frac{ {8}^{5} }{ {4}^{6} }=\frac{ {8}^{5} }{(4 \times 4)^{3} }=\frac{ {8}^{5} }{ {8}^{3} }={8}^{2} = 8 \times 8 = 64\\\\ c) \frac{ {27}^{2}\times{9}^{4} }{ {81}^{2} }=\frac{(3 \times 3 \times 3)^{2} \times (3 \times 3)^{4}}{ ({3\times 3 \times 3 \times 3})^{2} }=\frac{ {3}^{6} \times{3}^{8}}{ {3}^{8} }={3}^{6}= 3 \times 3 \times 3 \times 3 \times 3 \times 3 = 729 \\\\3)a)\frac{ {10}^{12} }{ {2}^{6} \times{5}^{6}}=\frac{ {10}^{12} }{( {2 \times 5})^{6} }=\frac{ {10}^{12} }{ {10}^{6} }={10}^{6}= 10 \times 10 \times 10 \times 10 \times 10 \times 10 = 1000000 \\\\ b) \frac{ {5}^{16} \times{3}^{16}}{ {15}^{14} }=\frac{(5 \times 3)^{16} }{ {15}^{14} }=\frac{ {15}^{16} }{ {15}^{14} }={15}^{2}= 225 \\\\ c) \frac{ {12}^{6} }{ {3}^{5} \times{4}^{5}}=\frac{ {12}^{6} }{(3 \times 4)^{5} }=\frac{ {12}^{6} }{ {12}^{5} }= 12$

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