Can you help me with steps please?

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Answer 1 · 2017-11-28T03:34:23

#z=5e^(ipi/3)=5root(3)(-1)#

.

#z=5e^(ipi/3)#

#z=5e^((ipi)/3)#

Rule of complex numbers:

#e^(iapi)=(-1)^a#

Here, #a=1/3#. Therefore:

#e^(i(1/3)pi)=(-1)^(1/3)=root(3)(-1)#

#z=5e^(ipi/3)=5root(3)(-1)#