Question

evaluate i²⁶+ i³⁶+i⁴²+i⁵⁴
​

Answer 1

$\sf \: {i}^{26} + i {}^{36} + {i}^{54} \\ \sf \: =( ( {i)}^{4})^{6} .( {i}^{2} ) + ( {i ^{4}) }^{9} + ( {i}^{4} ) ^{13} . {i}^{2} \\ = \: \sf \: {i}^{2} + 1 + {i}^{2} \\ \sf= - 1 + 1 - 1 \\ = \sf - 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$