Convert between any forms of complex numbers Algebra II

Convert z=3+2i into the exponential form.

z=2.e^{i\frac{\pi}3}

z=4e^{\frac{i\pi}{7}}

z=3e^{\frac{i\pi}{6}}

z=\sqrt{13}e^{i tan^{-1}\left(\frac{2}{3}\right)}

Convert z=-1+2i into the exponential form.

\sqrt {11} e^{i \tan^{- 1} \left(-.5\right)}

\sqrt {7} e^{i \tan^{- 1} \left(.5\right)}

\sqrt {5} e^{i \tan^{- 1} \left(-2\right)}

\sqrt {6} e^{i \tan^{- 1} \left(2\right)}

Convert z=7+4i into the exponential form.

\sqrt {59} e^{i \tan^{- 1} \left(\frac {4} {9}\right)}

\sqrt {65} e^{i \tan^{- 1} \left(\frac {4} {7}\right)}

\sqrt {61} e^{i \tan^{- 1} \left(\frac {4} {9}\right)}

\sqrt {67} e^{i \tan^{- 1} \left(\frac {4} {9}\right)}

Convert z=-4-5i into the exponential form.

\sqrt {41} e^{i \tan^{- 1} \left(\frac {5} {4}\right)}

\sqrt {29} e^{i \tan^{- 1} \left(\frac {-5} {4}\right)}

\sqrt {47} e^{i \tan^{- 1} \left(\frac {7} {4}\right)}

\sqrt {43} e^{i \tan^{- 1} \left(\frac {9} {4}\right)}

Convert z=-9+7i into the exponential form.

z = \sqrt {130} e^{i \tan^{- 1} \left(\frac {7} {11}\right)}

\sqrt {119} e^{i \tan^{- 1} \left(\frac {7} {9}\right)}

\sqrt {109} e^{i \tan^{- 1} \left(\frac {5} {9}\right)}

\sqrt {130} e^{i \tan^{- 1} \left(\frac {-7} {9}\right)}

Convert z=7-7i into the exponential form.

7\sqrt {3} e^{\frac{-i \pi}{6} }

7\sqrt {2} e^{\frac{-i \pi}{3} }

7\sqrt {2} e^{\frac{-i \pi}{4} }

7\sqrt {3} e^{\frac{-i \pi}{5} }

Convert z=1+\sqrt{3}i into the exponential form.

2 e^{i \frac{\pi}{4}}

3 e^{i \frac{\pi}{5}}

3 e^{i \frac{\pi}{4}}

2 e^{i \frac{\pi}{3}}