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Express each of the following complex numbers in Cartesian form (that is, in the form a+ib for a,b∈R), where Log denotes the Principal Complex Logarithm and the powers are Principal Complex Powers::

a) $$(ie)^{(i\pi)}$$

Note ($i\pi$) is the power for ($ie$) in this case sorry a bit new to this platform.

So I know this go down to like $$\exp(i\pi(\log(ie))$$

a bit confused on how to progress forward.

Joe
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