The cubic root of 32 can be represented using the cubic root symbol as follows:
\[ \sqrt[3]{32} \]
Calculating the cubic root, we find:
\[ \sqrt[3]{32} = 2 \times 2 \times 2 = 2^5 = 2^{5/3} = 2^{1} \sqrt[3]{4} = 2\sqrt[3]{(2^2)} = 2\sqrt[3]{2^2} \approx 3.1748 \]
However, to give you the precise answer:
\(\sqrt[3]{32} = 2\sqrt[3]{4}\), which can also be simplified to approximately 3.174.
If you need the exact form, keep it as \(\sqrt[3]{32}\) and know that it equals \(2\sqrt[3]{4}\) as its simplified form or around 3.174.