Menu Close

if-z-2-3i-3-4-17-by-using-demover-find-z-1-5-pleas-sir-help-me-




Question Number 69020 by mhmd last updated on 17/Sep/19
if z=(2+3i/3−(√(−4)))^(17)  by using demover find (z−1)^(−5)    pleas sir help me ?
$${if}\:{z}=\left(\mathrm{2}+\mathrm{3}{i}/\mathrm{3}−\sqrt{−\mathrm{4}}\right)^{\mathrm{17}} \:{by}\:{using}\:{demover}\:{find}\:\left({z}−\mathrm{1}\right)^{−\mathrm{5}} \: \\ $$$${pleas}\:{sir}\:{help}\:{me}\:? \\ $$
Commented by MJS last updated on 17/Sep/19
please set () correctly  do you mean z=(((2+3i)/(3−(√(−4)))))^(17) ?  ((2+3i)/(3−2i))=i  i^(17) =i  (−1+i)^(−5) =(1/8)+(1/8)i
$$\mathrm{please}\:\mathrm{set}\:\left(\right)\:\mathrm{correctly} \\ $$$$\mathrm{do}\:\mathrm{you}\:\mathrm{mean}\:{z}=\left(\frac{\mathrm{2}+\mathrm{3}{i}}{\mathrm{3}−\sqrt{−\mathrm{4}}}\right)^{\mathrm{17}} ? \\ $$$$\frac{\mathrm{2}+\mathrm{3}{i}}{\mathrm{3}−\mathrm{2}{i}}={i} \\ $$$${i}^{\mathrm{17}} ={i} \\ $$$$\left(−\mathrm{1}+{i}\right)^{−\mathrm{5}} =\frac{\mathrm{1}}{\mathrm{8}}+\frac{\mathrm{1}}{\mathrm{8}}{i} \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *