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Решите задачу:

$2 \times {2}^{ \frac{8}{5} } \times {2}^{ \frac{8}{20} } = {2}^{1 + \frac{8}{5} + \frac{8}{20} } = {2}^{ \frac{15}{5} } = {2}^{3} = 8$
${2}^{3 \times 0.28} \times {2}^{4 \times 0.04} = {2}^{0.84 + 0.16} = {2}^{1} = 2$
$\frac{ {5}^{5.6} }{ {5}^{2 \times 1.3} } = {5}^{5.6 - 2.6} = {5}^{3} = 125$
${5}^{ \frac{1}{5} } \times {5}^{2 \times \frac{2}{5} } = {5}^{ \frac{1}{5} + \frac{4}{5} } = {5}^{ \frac{5}{5} } = 5$
${ ({1.25}^{2} )}^{ \frac{1}{7} } \times ( { {2}^{6} )}^{ \frac{1}{7} } \times ( { {10}^{5} )}^{ \frac{1}{7} } = (10000000)^{ \frac{1}{7} } = 10$
${5}^{2 \times (2 \sqrt{2} - 3)} \times {5}^{4 - 4 \sqrt{2} } = {5}^{4 \sqrt{2} - 6 + 4 - 4 \sqrt{2} } = {5}^{ - 2} = \frac{1}{25} = 0.04$
$15 \times 18 = 270$
$log_{0.25}(32) = log_{0.25}( {2}^{5} ) = 5 log_{0.25}(2)$