=100+3.{144-4.[5-0]+1}
=100+3.{140.5+1}
=100+3.{700+1}
=100+3.701
=100+2103
=2203
\(10^2+3\cdot\left\{12^2-4\cdot\left[\left(5^7:5^6-5^0\right)\right]+1\right\}\)
\(=100+3\cdot\left\{144-4\cdot\left[\left(5-1\right)+1\right]\right\}\)
\(=100+3\cdot\left[144-4\cdot\left(4+1\right)\right]\)
\(=100+3\cdot\left(144-4\cdot5\right)\)
\(=100+3\cdot\left(144-20\right)\)
\(=100+3\cdot124\)
\(=100+372\)
\(=472\)