\(\dfrac{1}{2}\cdot\dfrac{3}{4}=\dfrac{3}{8}\\ \left(\dfrac{1}{2}\right)^3\cdot\left(\dfrac{3}{4}\right)^3=\left(\dfrac{1}{2}\cdot\dfrac{3}{4}\right)^3=\left(\dfrac{3}{8}\right)^3\\ \dfrac{3}{8}< \left(\dfrac{3}{8}\right)^3\Rightarrow\dfrac{1}{2}\cdot\dfrac{3}{4}< \left(\dfrac{1}{2}\right)^3\cdot\left(\dfrac{3}{4}\right)^3\)