\(\frac{9^3.25^3}{18^2.125^2}=\frac{\left(9.25\right)^3}{\left(18.125\right)^2}=\frac{225^3}{2250^2}=\frac{225^3}{225^2.10^2}=\frac{225}{100}=\frac{9}{4}\)
\(\frac{9^3.25^3}{18^2.125^2}=\frac{9^3.\left(5^2\right)^3}{\left(9.2\right)^2.\left(5^3\right)^2}=\frac{9^3.5^6}{9^2.2^2.5^{^6}}=\frac{9^2.9.5^6}{9^2.2^2.5^6}=\frac{9}{2^2}=\frac{9}{4}\)
9^3x25^3=3^6x5^6= 15^6
18^2x125^2=9^2x2^2x125^2=(9x2x125)^2=2250^2