ANSWER
c.
[tex]5{e}^{i \frac{5\pi}{3} }[/tex]
EXPLANATION
The exponential form of complex numbers is given by;
[tex]z =r {e}^{i \theta} [/tex]
The given complex number in polar form is:
[tex]5( \cos( \frac{5\pi}{3} + i \sin( \frac{5\pi}{3}) ) [/tex]
We have r=5 from the question and
[tex] \theta = \frac{5\pi}{3} [/tex]
We substitute these values to obtain the exponential form:
[tex]z =5{e}^{i \frac{5\pi}{3} }[/tex]
The correct answer is C
