\(\dfrac{3}{4}\left(x^2y\right)^2:\dfrac{1}{8}xy^2\\ =\dfrac{3}{4}x^4y^2:\dfrac{1}{8}xy^2\\ =\left(\dfrac{3}{4}:\dfrac{1}{8}\right)\left(x^4:x\right)\left(y^2:y^2\right)\\ =6x^3\)
\(\dfrac{3}{4}\left(x^2y\right)^2\div\dfrac{1}{8}xy^2\)
\(=\dfrac{3}{4}x^4y^2\div\dfrac{1}{8}xy^2\)
\(=6x^3\)
\(\dfrac{3}{4}\left(x^2y\right)^2:\dfrac{1}{8}xy^2\)
\(=\dfrac{3}{4}x^4y^2:\dfrac{1}{8}xy^2\)
\(=\left(\dfrac{3}{4}:\dfrac{1}{8}\right)\cdot\left(x^4:x\right)\cdot\left(y^2:y^2\right)\)
\(=6x^3\)
\(\dfrac{3}{4}\left(x^2y\right)^2:\dfrac{1}{8}xy^2=\dfrac{3}{4}x^4y^2:\dfrac{1}{8}xy^2=\dfrac{3}{4}.8.x^3=6x^3\)