\(\left(21^2\times14\times125\right)\div\left(35^5\times6\right)=\frac{\left(3\times7\right)^2\times7\times2\times5^3}{\left(7\times5\right)^5\times2\times3}=\frac{3^2\times7^2\times7\times5^3}{7^5\times5^5\times3}=\frac{3}{7^2\times5^2}=\frac{3}{49\times25}=\frac{3}{1225}\)
\(B=\frac{21^2.14.125}{35^5.6}=\frac{3^2.7^2.7.2.5^3}{5^5.7^5.2.3}=\frac{3}{5^2.7^3}=\frac{3}{8575}\)
\(B=\frac{21^2.14.125}{35^5.6}=\frac{\left(3.7\right)^2.\left(2.7\right).5^3}{\left(5.7\right)^5.2.3}=\frac{3^2.7^2.2.7.5^3}{5^5.7^5.2.3}=\frac{2.3^2.5^3.7^3}{2.3.5^5.7^5}=\frac{3}{5^2.7^2}=\frac{3}{1225}\)