(7/3)^2010×(3^2011+15^2011)/(7^2011+35^2011)
=(7/3)^2010×(3^2011+3^2011×5^2011)/(7^2011+7^2011×5^2011)
=(7/3)^2010×(3/7)^2011×(1+5^2011)/(1+5^2011)
=(7/3*3/7)^2010×3/7×1
=1×3/7
=3/7
(7/3)^2010×(3^2011+15^2011)/(7^2011+35^2011)
=(7/3)^2010×(3^2011+3^2011×5^2011)/(7^2011+7^2011×5^2011)
=(7/3)^2010×(3/7)^2011×(1+5^2011)/(1+5^2011)
=(7/3*3/7)^2010×3/7×1
=1×3/7
=3/7