Find the cube root of $0.000001$.

To do:  To find the cube root of $0.000001$.

Solution: 

Given number$=0.000001$

Cube root$=\sqrt[3]{0.000001}$

$=\sqrt[3]{\frac{1}{1000000}}$     [Convert decimal into fraction]

$=\sqrt[3]{\frac{1}{10^3\times10^3}}$  [$\because 1000000=10^6=10^3\times10^3$]

$=\frac{1}{10\times10}$

$=\frac{1}{100}$

$=0.01$

Thus, the cube root of $0.000001$ is $0.01$.