Question

SOMEONE PLS EXPLAIN HOW THIS IS SOLVED​

Answer 1

${i}^{ - 39} \\ \\ = \frac{1}{ {i}^{39} } \\ \\ = \frac{1}{( { {i}^{4} })^{9}. {i}^{3} } \\ \\ = \frac{1}{1.( - i)} \\ \\ = \frac{1}{ - i} \\ \\ = \frac{1}{ - i} \times \frac{i}{i} \\ \\ = \frac{i}{ - {i}^{2} } \\ \\ = \frac{i}{ - ( - 1)} \\ \\ = i$