i-49 এর মান কত?

i^-49 এর মান কত?

A - 1

B i

C 1

D - i

Correct Answer: Option D

আমরা জানি,
i = √-1;
i²= -1;
i³ = i²i = - i;
i⁴ = i².i² = (-1).(-1) = 1

i^-49
= 1/i⁴⁹
= 1/{i⁴⁸.i}
= 1/{(i⁴)¹².i}
= 1/i
= i⁴/i
= i³
= - i