Question

iSimplify i⁵⁹²+i⁵⁹⁰+i⁵⁸⁸+i⁵⁸⁶+i⁵⁸⁴/i⁵⁸²+i⁵⁸⁰+i⁵⁷⁸+i⁵⁷⁶+i⁵⁷⁴​​

Answer 1

Step-by-step explanation:

$\\ \tt\frac{i^{592}+i^{590}+i^{588}+i^{686}+i^{584}}{i^{582}+i^{580}+i^{578}+i^{576}+i^{574}}=\frac{i^{10}\left(i^{582}+i^{580}+i^{578}+i^{578}+i^{574}\right)}{\left(i^{582}+i^{580}+i^{578}+i^{574}+i^{674}\right)}=i^{10}=i^{2}=-1 .$