Question

evaluate (i³⁷+1/i⁴⁷)​

Answer 1

Answer:

= 2i

Explanation:

$= {i}^{ 37} + \frac{1}{i^{47} }$

$= \: i^{36 + 1} + \frac{1}{i^{44 + 3} }$

$= i + \frac{1i}{ - i \times i} = i + \frac{1i}{ - i^{2} }$

$= i + \frac{i}{ - ( - i)}$

$= i + \frac{i}{1}$

$= i + i = 2i$