Simplify Exponents of Complex Numbers using de-Moivre's Theorem

$(16.971)^{13}\cdot \dfrac{\sqrt{2}}{2}-(16.971)^{13}\cdot \dfrac{\sqrt{2}}{2}i$

$(16.971)^{13}\cdot 0.966+(16.971)^{13}\cdot 0.259i$

$(16.971)^{13}\cdot 0.966-(16.971)^{13}\cdot 0.259i$

$(16.971)^{13}$

$(16.971)^{16}\cdot \dfrac{\sqrt{3}}{2}+(16.971)^{16}\cdot \dfrac{1}{2}i$

$(16.971)^{16}$

$(16.971)^{16}\cdot \dfrac{1}{2}+(16.971)^{16}\cdot \dfrac{\sqrt{3}}{2}i$

$(16.971)^{16}\cdot \dfrac{\sqrt{2}}{2}+(16.971)^{16}\cdot \dfrac{\sqrt{2}}{2}i$

$(22)^{15}$

$(22)^{15}\cdot \dfrac{\sqrt{2}}{2}+(22)^{15}\cdot \dfrac{\sqrt{2}}{2}i$

$(22)^{15}\cdot \dfrac{1}{2}+(22)^{15}\cdot \dfrac{\sqrt{3}}{2}i$

$(22)^{15}\cdot \dfrac{\sqrt{3}}{2}+(22)^{15}\cdot \dfrac{1}{2}i$

$-(2.828)^{5}\cdot 0.259-(2.828)^{5}\cdot 0.966i$

$(2.828)^{5}\cdot 0.259-(2.828)^{5}\cdot 0.966i$

$-(2.828)^{5}\cdot \dfrac{\sqrt{2}}{2}-(2.828)^{5}\cdot \dfrac{\sqrt{2}}{2}i$

$-(2.828)^{5}i$

$-(9.238)^{4}\cdot \dfrac{1}{2}-(9.238)^{4}\cdot \dfrac{\sqrt{3}}{2}i$

$(9.238)^{4}\cdot \dfrac{1}{2}-(9.238)^{4}\cdot \dfrac{\sqrt{3}}{2}i$

$(9.238)^{4}\cdot 0.259-(9.238)^{4}\cdot 0.966i$

$-(9.238)^{4}i$