\(B=8^3\times81^4\div9^6\times32=\left(2^3\right)^3\times\left(3^4\right)^4\div\left(3^2\right)^6\times2^5=2^9\times3^{16}\div3^{12}\times2^5=2^{14}\times3^4\)
\(8^3.81^4:9^6.32=\left(2^3\right)^3.\left(3^4\right)^4:\left(3^2\right)^6.2^5=2^9.3^{16}:3^{12}.2^5=\left(2^9.2^5\right).\left(3^{16}:3^{12}\right)=2^{14}.3^4\)