Question

evaluate i²+i⁴+i⁶/i³+i⁵+i⁷​

Answer 1

Answer:

We are already know that i=√-1

So here is your answer

$\frac{ {i}^{2} + {i}^{4} + {i}^{6} }{ {i}^{3} + {i}^{5} + {i}^{7} } \\ = \frac{ {i}^{2}(1 + {i}^{2} + {i}^{4} ) }{ {i}^{3}(1 + {i}^{2} + {i}^{4}) } \\ = \frac{ {i}^{2} }{ {i}^{3} } = \frac{1}{i}$

It is your answer.Hope you understand.