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If $\sqrt[3]{1728} \ =\ 12$, then find the value of $\sqrt[3]{0.000001728}$.
Given: $\sqrt[3]{1728} \ =\ 12$
To find: Here we have to find the value of $\sqrt[3]{0.000001728}$.
Solution:
Now,
$\sqrt[3]{0.000001728}$
$=\ \sqrt[3]{\frac{1728}{1000000000}}$
$=\ \sqrt[3]{\frac{12\ \times \ 12\ \times \ 12}{1000\ \times \ 1000\ \times \ 1000}}$
$=\ \frac{12}{1000}$
$=\ \mathbf{0.012}$
So, the answer is 0.012.
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