Question 801256
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For problems like this we need

i<sup>2</sup> = -1, (-1)<sup>EVEN</sup> = 1, (-1)<sup>ODD</sup> = -1 

i<sup>59</sup> = i<sup>58+1</sup> = i<sup>58</sup>i<sup>1</sup> = i<sup>2*29</sup>i = (i<sup>2</sup>)<sup>29</sup>i = (-1)<sup>29</sup>i = -1i = -i

So 2i<sup>59</sup> = 2(-i) = -2i

Edwin</pre>