The value of i⁴ⁿ⁺³ (n a positive integer) is
A−1
B−i
C1
Di
Answer & Solution
Correct answer: B. −i
i⁴ⁿ = 1, so i⁴ⁿ⁺³ = i³ = −i.
Related questions
The number of distinct $n$th roots of a non-zero complex number is:Using De Moivre's theorem, $(\cos\theta + i in\theta)^4$ equals:The modulus of $z = 5 + 12i$ is:The conjugate of $z = 3 - 4i$ is:In z = a + ib, Re(z) and Im(z) are|z₁ z₂| equalsThe value of (1 + i)/(1 − i) isIf z = a + ib is purely imaginary, then