对数指数运算问题

题目

对数指数运算问题
(1/27)^2+lg2*lg2500+2(lg5)^2+9^(2+log93)=

答案

原式＝(1/27)^2+lg2*lg(5^2*10^2)+2(lg5)^2+9^2*9^log93
=(1/27)^2+lg2*(2lg5+2)+2(lg5)^2+81*3
=(1/27)^2+2lg2*lg5+2lg2+2(lg5)^2+81*3
=(1/27)^2+2(lg2+lg5)*lg5+2lg2+81*3
=(1/27)^2+2lg5+2lg2+81*3
=(1/27)^2+2+81*3