Question

determine o valor da expressão i^17+3i^288-2i^95+i^30?

Answer 1

$i^{17}+3i^{288}-2i^{95}+i^{30}\\\\Comecamos\;deixando\;todos\;expoentes\;pares\\\\i.i^{16}+3i^{288}-2i.i^{94}+i^{30}\\\\Dividimos\;os\;expoentes\;por\;2:\\\\\\i.i^{8}+3i^{144}-2i.i^{47}+i^{15}\\\\Se\;o\;expoente\;ficou\;par\rightarrow O\;termo\;vale\;1\\Se\;o\;expoente\;ficou\;impar\rightarrow O\;termo\;vale\;-1\\\\i.(1)+3.(1)-2i.(-1)+(-1)\\\\i+3+2i-1\\\\2+3i$