Find the cube root of the following through estimation.

$8000$

Find the cube root of the following through estimation.

$389017$

Find the cube root of the following through estimation.

$46656$

Evaluate: $\sqrt[3]{-2197}$

Evaluate: $\sqrt[3]{\frac{-512}{343}}$.

If  $\sqrt[3]{-2\frac{10}{27}}=-\frac{m}{n}$ where, $m>0, n>0$ and $\frac{m}{n}$ is in its simplest form, then find the value of $m+n$.

Evaluate: $\sqrt[3]{\frac{10648}{12167}}$

Evaluate:  $\sqrt[3]{64\times 729}$

Evaluate: $\sqrt[3]{\frac{125}{216}}$