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For all complex numbers z, let

f(z) = z^2 if z is not real

f(z) = z^3 if z is real

Find f(f(f(f(1+i)))).

 Mar 6, 2022
 #1
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(1+i)2=i2+2i+1=1+2i+1=2i

(2i)2=4i2=4×1=4

43=64

643=262,144

.
 Mar 7, 2022

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