Question

{{[(1+2+3...+100):1010]^911×5^4:5^914}^3-5^2}:10^2+1=

Answer 1

{{[(1+2+3...+100):1010]^911×5^4:5^914}^3-5^2}:10^2+1=
={{[(100×101:2):1010]^911×5^4:5^914}^3-5^2}:10^2+1=
={{[(5050:1010)^911×5^4:5^914}^3-5^2}:10^2+1=
=[(5^911×5^4:5^914)^3-5^2]:10^2+1=
=[(5^915:5^914)^3-5^2]:10^2+1=
=[(5^1)^3-5^2]:10^2+1=
=(5^3-5^2):10^2+1=
=5^2×(5-1):10^2+1=
=5^2×4:10^2+1=
=5^2×2^2:10^2+1=
=10^2:10^2+1=
=1+1=2