`#3107.101107`
\(\left[2^3\cdot97+8\cdot75-\left(-47\right)\cdot2^3\right]\div10^2\)
\(=\left(2^3\cdot97+2^3\cdot75+47\cdot2^3\right)\div10^2\)
\(=\left[2^3\cdot\left(97+75-47\right)\right]\div10^2\)
\(=\left(2^3\cdot125\right)\div10^2\)
\(=\left(2^3\cdot5^3\right)\div10^2\)
\(=\left(5\cdot2\right)^3\div10^2\)
\(=10^3\div10^2\)
\(=10\)
\(\left(2^3.97+8.75-47.2^3\right):10^2\\ =\left[\left(97-47+75\right).2^3\right]:100\\ =\left[125.8\right]:100\\ =1000:100=10\)