Find the cube root of $\frac{864}{1372}$

Show that:

$\sqrt[3]{8}\times \sqrt[3]{729}=\sqrt[3]{8\times 729}$

Show that:

$\sqrt[3]{64}\times \sqrt[3]{-343}=\sqrt[3]{64\times -343}$

Show that:

$\frac{\sqrt[3]{1000}}{\sqrt[3]{729}}=\sqrt[3]{\frac{1000}{729}}$

Show that:

$\frac{\sqrt[3]{343}}{\sqrt[3]{-512}}=\sqrt[3]{\frac{343}{-512}}$