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37 votes
Evaluate the expression
\sqrt[5]{3125{e}^{(11 \pi )/(2) i}}, leaving your answer in polar form.

User Extempl
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1 Answer

21 votes
21 votes


\sqrt[5]{3125e^{(11\pi)/(2)i}}\\=\\\sqrt[5]{3125}\sqrt[5]{e^{(11\pi)/(2)}i}\\\\=5e^{(11\pi)/(10)i}\\\\\boxed{5\left(\cos \left((11\pi)/(10) \right)+i \sin \left((11\pi)/(10) \right) \right)}

User UnknownGosu
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