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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 $0.01$.
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