Question

Помогите пожалуйста!

Answer 1

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