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Real Part
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\sqrt[3]{\frac{i-i^{-5}}{2i}}
Calculate i to the power of 5 and get i.
\sqrt[3]{\frac{i-\left(-i\right)}{2i}}
Calculate i to the power of -5 and get -i.
\sqrt[3]{\frac{i+i}{2i}}
The opposite of -i is i.
\sqrt[3]{\frac{2i}{2i}}
Add i and i to get 2i.
\sqrt[3]{1}
Divide 2i by 2i to get 1.
1
Calculate \sqrt[3]{1} and get 1.
Re(\sqrt[3]{\frac{i-i^{-5}}{2i}})
Calculate i to the power of 5 and get i.
Re(\sqrt[3]{\frac{i-\left(-i\right)}{2i}})
Calculate i to the power of -5 and get -i.
Re(\sqrt[3]{\frac{i+i}{2i}})
The opposite of -i is i.
Re(\sqrt[3]{\frac{2i}{2i}})
Add i and i to get 2i.
Re(\sqrt[3]{1})
Divide 2i by 2i to get 1.
Re(1)
Calculate \sqrt[3]{1} and get 1.
1
The real part of 1 is 1.