共50条信息
计算：\( \dfrac{2+2i}{(1-i)^{2}}·\left( \left. \dfrac{ \sqrt{2}}{1+i} \right. \right)^{2 020} =\)________．
已知\(i\)是虚数单位，则\({{\left( \dfrac{1-i}{1+i} \right)}^{6}}+{{\left( \dfrac{\sqrt{2}}{1-i} \right)}^{2018}}=\)____________________\(.\)
\( \dfrac{-2 \sqrt{3}+i}{1+2 \sqrt{3}i}+\left( \left. \dfrac{ \sqrt{2}}{1-i} \right. \right)^{2 017} =\)________．
已知复数\(z=i+i^{2}+i^{3}+…+i^{2019}\)，则\(z=\)________．
\(\left( \left. \dfrac{1+i}{1-i} \right. \right)^{2 018} =\)________．
复数\({{\left( \dfrac{1-i}{1+i} \right)}^{10}}\)的值是____________．
计算：\({{(\dfrac{1+{i}}{\sqrt{2}})}^{2012}}=\) ．
计算\(\left(2+{i}^{15}\right)-{\left( \dfrac{1+i}{ \sqrt{2}}\right)}^{22} =\)___________．
已知\(i\)是虚数单位，则\(\left(\begin{matrix} \begin{matrix} \dfrac{ \sqrt{2}}{1-i} \end{matrix}\end{matrix}\right)^{2 016} +\left(\begin{matrix} \begin{matrix} \dfrac{1+i}{1-i} \end{matrix}\end{matrix}\right)^{6} =\)________．
计算\({{(\dfrac{\sqrt{2}}{1+i})}^{2006}}\)的值等于______________．
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