Question

(3la52-3la51-3la50)la2:(9la50x25)

Answer 1

      
$\frac{(3^{52}-3^{51}-3^{50} )^{2}}{ 9^{50}*25}= \\ \\=\frac{[ 3^{50}(3^{2}-3^{1}-3^{0} )]^{2}}{ (3^{2}) ^{50}* 5^{2}}= \\ \\ =\frac{ (3^{50})^{2}(3^{2}-3^{1}-3^{0} )^{2}}{ (3^{2}) ^{50}* 5^{2}}= \\ \\ =\frac{ 3^{100}*(9-3-1 )^{2}}{ 3^{100}* 5^{2}}= \\ \\ =\frac{ 3^{100}*5^{2}}{ 3^{100}* 5^{2}}=1$