[tex]\frac{3^{1}*3^{2}* 3^{3}* .....* 3^{2013} }{(27^{1007} )^{671}}= \\ \\ \frac{3^{1+2+3+...+2013)}}{ 3^{(3*1007})^{671} }= \\ \\ [/tex]
1+2+3+.....+2013- sir Gauss cu formula [n(n+1)]:2=(2013*2014):2=2013*1007
[tex]\frac{3^{1+2+3+...+2013)}}{ 3^{(3*1007})^{671} }= \\ \\ \frac{3^{2013*1007} }{3 ^{3*671*2013} } = \\ \\ \frac{3^{2013*1007} }{3 ^{1007*2013} } =1[/tex]
[tex]\frac{3^{1}*3^{2}* 3^{3}* .....* 3^{2013} }{(27^{1007} )^{671}}=1[/tex]
o fractie este echiunitara cand este egala cu 1
