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Solving Problems With Powers Of Complex Numbers

Given that (4+2i)3 and |Z|=12, find n

Given that z=(8+17i)nz=\left(8+\sqrt{17}i\right)^n ,and |Z|=729, find n

Given that (4-4i)4 find Arg [z]

Given that z=(5+2i)nz=\left(\sqrt{5}+2i\right)^n , and |Z|=243, find n

Given that z=(3+4i)nz=\left(3+4i\right)^n , and |Z|=25, find n

 Given that (-2+2i)2 find Arg[z]

Given that (5i)7 find Arg [z] (-3+3i)4

Given that (-3+3i)4 find Arg[z]

Given that z=(79i)nz=\left(\sqrt{7}-\sqrt{9}i\right)^n , and |Z|=64, find n

Given that z=(8i)nz=\left(\sqrt{8}-i\right)^n , and |Z|=81, find n