Question

can anyone solve this question? see the question in the image supplied.​

Answer 1

2i

Step-by-step explanation:

${i}^{37} + \frac{1}{ {i}^{67} }$

$( {i}^{4} )^{9} .i \: + \frac{1}{ ({i}^{4} ) {}^{16}. {i}^{3} }$

$i + \frac{1}{ {i}^{3} } = i + \frac{1}{ - i}$

$i + \frac{ - 1}{ i} \times \frac{i}{i}$

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

2i