Question

. Докажите тождество

Answer 1

решение задания смотри на фотографии

Answer 2

$( \frac{2}{3} ) ^{5} ( {2}^{5} )^{3} {3}^{7 } \div ( {2}^{10} \times 3) ^{2} = \\ = \frac{ {2}^{5} \times {2}^{15} \times {3}^{7} }{ {3}^{5} } \div ( {2}^{20} \times 3^{2} ) = \\ = ( {2}^{20} \times {3}^{2} )\div ( {2}^{20} \times 3^{2} ) = 1$
$( \frac{4}{5} ) ^{6} \times ({4}^{3} )^{3} \times {5}^{8} \div ( {4}^{7} \times 5) ^{2} = \\ = \frac{ {4}^{6} \times {4}^{9} \times {5}^{8} }{ {5}^{6} } \div ( {4}^{14} \times 5^{2}) = \\ = ( {4}^{15} \times {5}^{2} )\div ( {4}^{14} \times 5^{2}) = \\ = {4}^{15 - 14} = 4$